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Finding the Third Proportional to 38,542 and 61,620

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Solution

The third proportional to 38,542 and 61,620 is: 98,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542 : 61,620 = 61,620 : x
  2. Step 2: Convert to fraction form
    38,542/61,620 = 61,620/x
  3. Step 3: Cross multiply
    38,542x = 61,620 × 61,620
  4. Step 4: Simplify right side
    38,542x = 3,797,024,400
  5. Step 5: Solve for x
    x = 3,797,024,400/38,542
  6. Step 6: Final answer
    x = 98,516.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.