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Finding the Third Proportional to 36,456.50 and 57,115

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Solution

The third proportional to 36,456.50 and 57,115 is: 89,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,456.50 : 57,115 = 57,115 : x
  2. Step 2: Convert to fraction form
    36,456.50/57,115 = 57,115/x
  3. Step 3: Cross multiply
    36,456.50x = 57,115 × 57,115
  4. Step 4: Simplify right side
    36,456.50x = 3,262,123,225
  5. Step 5: Solve for x
    x = 3,262,123,225/36,456.50
  6. Step 6: Final answer
    x = 89,479.88

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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.