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Finding the Third Proportional to 39,630 and 61,561

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Solution

The third proportional to 39,630 and 61,561 is: 95,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,630 : 61,561 = 61,561 : x
  2. Step 2: Convert to fraction form
    39,630/61,561 = 61,561/x
  3. Step 3: Cross multiply
    39,630x = 61,561 × 61,561
  4. Step 4: Simplify right side
    39,630x = 3,789,756,721
  5. Step 5: Solve for x
    x = 3,789,756,721/39,630
  6. Step 6: Final answer
    x = 95,628.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.