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Finding the Third Proportional to 18,002 and 37,387

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Solution

The third proportional to 18,002 and 37,387 is: 77,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002 : 37,387 = 37,387 : x
  2. Step 2: Convert to fraction form
    18,002/37,387 = 37,387/x
  3. Step 3: Cross multiply
    18,002x = 37,387 × 37,387
  4. Step 4: Simplify right side
    18,002x = 1,397,787,769
  5. Step 5: Solve for x
    x = 1,397,787,769/18,002
  6. Step 6: Final answer
    x = 77,646.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.