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Finding the Third Proportional to 39,862 and 62,539

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Solution

The third proportional to 39,862 and 62,539 is: 98,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,862 : 62,539 = 62,539 : x
  2. Step 2: Convert to fraction form
    39,862/62,539 = 62,539/x
  3. Step 3: Cross multiply
    39,862x = 62,539 × 62,539
  4. Step 4: Simplify right side
    39,862x = 3,911,126,521
  5. Step 5: Solve for x
    x = 3,911,126,521/39,862
  6. Step 6: Final answer
    x = 98,116.67

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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.