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Finding the Third Proportional to 19,699 and 43,772.50

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Solution

The third proportional to 19,699 and 43,772.50 is: 97,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699 : 43,772.50 = 43,772.50 : x
  2. Step 2: Convert to fraction form
    19,699/43,772.50 = 43,772.50/x
  3. Step 3: Cross multiply
    19,699x = 43,772.50 × 43,772.50
  4. Step 4: Simplify right side
    19,699x = 1,916,031,756.25
  5. Step 5: Solve for x
    x = 1,916,031,756.25/19,699
  6. Step 6: Final answer
    x = 97,265.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.