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Finding the Third Proportional to 19,699 and 29,548.50

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Solution

The third proportional to 19,699 and 29,548.50 is: 44,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699 : 29,548.50 = 29,548.50 : x
  2. Step 2: Convert to fraction form
    19,699/29,548.50 = 29,548.50/x
  3. Step 3: Cross multiply
    19,699x = 29,548.50 × 29,548.50
  4. Step 4: Simplify right side
    19,699x = 873,113,852.25
  5. Step 5: Solve for x
    x = 873,113,852.25/19,699
  6. Step 6: Final answer
    x = 44,322.75

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.