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Finding the Third Proportional to 38,960 and 61,034

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Solution

The third proportional to 38,960 and 61,034 is: 95,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,960 : 61,034 = 61,034 : x
  2. Step 2: Convert to fraction form
    38,960/61,034 = 61,034/x
  3. Step 3: Cross multiply
    38,960x = 61,034 × 61,034
  4. Step 4: Simplify right side
    38,960x = 3,725,149,156
  5. Step 5: Solve for x
    x = 3,725,149,156/38,960
  6. Step 6: Final answer
    x = 95,614.71

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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.