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Finding the Third Proportional to 39,613 and 61,850

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Solution

The third proportional to 39,613 and 61,850 is: 96,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,613 : 61,850 = 61,850 : x
  2. Step 2: Convert to fraction form
    39,613/61,850 = 61,850/x
  3. Step 3: Cross multiply
    39,613x = 61,850 × 61,850
  4. Step 4: Simplify right side
    39,613x = 3,825,422,500
  5. Step 5: Solve for x
    x = 3,825,422,500/39,613
  6. Step 6: Final answer
    x = 96,569.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.