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Finding the Third Proportional to 32,082 and 50,397

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Solution

The third proportional to 32,082 and 50,397 is: 79,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082 : 50,397 = 50,397 : x
  2. Step 2: Convert to fraction form
    32,082/50,397 = 50,397/x
  3. Step 3: Cross multiply
    32,082x = 50,397 × 50,397
  4. Step 4: Simplify right side
    32,082x = 2,539,857,609
  5. Step 5: Solve for x
    x = 2,539,857,609/32,082
  6. Step 6: Final answer
    x = 79,167.68

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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.