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Finding the Third Proportional to 31,872 and 68,436

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Solution

The third proportional to 31,872 and 68,436 is: 146,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872 : 68,436 = 68,436 : x
  2. Step 2: Convert to fraction form
    31,872/68,436 = 68,436/x
  3. Step 3: Cross multiply
    31,872x = 68,436 × 68,436
  4. Step 4: Simplify right side
    31,872x = 4,683,486,096
  5. Step 5: Solve for x
    x = 4,683,486,096/31,872
  6. Step 6: Final answer
    x = 146,946.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.