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Finding the Third Proportional to 38,757 and 58,136

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Solution

The third proportional to 38,757 and 58,136 is: 87,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,757 : 58,136 = 58,136 : x
  2. Step 2: Convert to fraction form
    38,757/58,136 = 58,136/x
  3. Step 3: Cross multiply
    38,757x = 58,136 × 58,136
  4. Step 4: Simplify right side
    38,757x = 3,379,794,496
  5. Step 5: Solve for x
    x = 3,379,794,496/38,757
  6. Step 6: Final answer
    x = 87,204.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.