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Finding the Third Proportional to 31,442 and 66,376

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Solution

The third proportional to 31,442 and 66,376 is: 140,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442 : 66,376 = 66,376 : x
  2. Step 2: Convert to fraction form
    31,442/66,376 = 66,376/x
  3. Step 3: Cross multiply
    31,442x = 66,376 × 66,376
  4. Step 4: Simplify right side
    31,442x = 4,405,773,376
  5. Step 5: Solve for x
    x = 4,405,773,376/31,442
  6. Step 6: Final answer
    x = 140,123.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.