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Finding the Third Proportional to 39,876 and 62,562

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Solution

The third proportional to 39,876 and 62,562 is: 98,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,876 : 62,562 = 62,562 : x
  2. Step 2: Convert to fraction form
    39,876/62,562 = 62,562/x
  3. Step 3: Cross multiply
    39,876x = 62,562 × 62,562
  4. Step 4: Simplify right side
    39,876x = 3,914,003,844
  5. Step 5: Solve for x
    x = 3,914,003,844/39,876
  6. Step 6: Final answer
    x = 98,154.37

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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.