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Finding the Third Proportional to 36,930 and 57,331

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Solution

The third proportional to 36,930 and 57,331 is: 89,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930 : 57,331 = 57,331 : x
  2. Step 2: Convert to fraction form
    36,930/57,331 = 57,331/x
  3. Step 3: Cross multiply
    36,930x = 57,331 × 57,331
  4. Step 4: Simplify right side
    36,930x = 3,286,843,561
  5. Step 5: Solve for x
    x = 3,286,843,561/36,930
  6. Step 6: Final answer
    x = 89,001.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.