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Finding the Third Proportional to 39,859 and 62,533

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Solution

The third proportional to 39,859 and 62,533 is: 98,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,859 : 62,533 = 62,533 : x
  2. Step 2: Convert to fraction form
    39,859/62,533 = 62,533/x
  3. Step 3: Cross multiply
    39,859x = 62,533 × 62,533
  4. Step 4: Simplify right side
    39,859x = 3,910,376,089
  5. Step 5: Solve for x
    x = 3,910,376,089/39,859
  6. Step 6: Final answer
    x = 98,105.22

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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.