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Finding the Third Proportional to 38,874.75 and 58,302

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Solution

The third proportional to 38,874.75 and 58,302 is: 87,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874.75 : 58,302 = 58,302 : x
  2. Step 2: Convert to fraction form
    38,874.75/58,302 = 58,302/x
  3. Step 3: Cross multiply
    38,874.75x = 58,302 × 58,302
  4. Step 4: Simplify right side
    38,874.75x = 3,399,123,204
  5. Step 5: Solve for x
    x = 3,399,123,204/38,874.75
  6. Step 6: Final answer
    x = 87,437.82

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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.