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Finding the Third Proportional to 38,540 and 61,077

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Solution

The third proportional to 38,540 and 61,077 is: 96,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540 : 61,077 = 61,077 : x
  2. Step 2: Convert to fraction form
    38,540/61,077 = 61,077/x
  3. Step 3: Cross multiply
    38,540x = 61,077 × 61,077
  4. Step 4: Simplify right side
    38,540x = 3,730,399,929
  5. Step 5: Solve for x
    x = 3,730,399,929/38,540
  6. Step 6: Final answer
    x = 96,792.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.