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Finding the Third Proportional to 19,707.50 and 29,484.50

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Solution

The third proportional to 19,707.50 and 29,484.50 is: 44,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.50 : 29,484.50 = 29,484.50 : x
  2. Step 2: Convert to fraction form
    19,707.50/29,484.50 = 29,484.50/x
  3. Step 3: Cross multiply
    19,707.50x = 29,484.50 × 29,484.50
  4. Step 4: Simplify right side
    19,707.50x = 869,335,740.25
  5. Step 5: Solve for x
    x = 869,335,740.25/19,707.50
  6. Step 6: Final answer
    x = 44,111.92

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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.