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Finding the Third Proportional to 39,861 and 62,537.50

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Solution

The third proportional to 39,861 and 62,537.50 is: 98,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,861 : 62,537.50 = 62,537.50 : x
  2. Step 2: Convert to fraction form
    39,861/62,537.50 = 62,537.50/x
  3. Step 3: Cross multiply
    39,861x = 62,537.50 × 62,537.50
  4. Step 4: Simplify right side
    39,861x = 3,910,938,906.25
  5. Step 5: Solve for x
    x = 3,910,938,906.25/39,861
  6. Step 6: Final answer
    x = 98,114.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.