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Finding the Third Proportional to 38,832 and 58,187

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Solution

The third proportional to 38,832 and 58,187 is: 87,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,832 : 58,187 = 58,187 : x
  2. Step 2: Convert to fraction form
    38,832/58,187 = 58,187/x
  3. Step 3: Cross multiply
    38,832x = 58,187 × 58,187
  4. Step 4: Simplify right side
    38,832x = 3,385,726,969
  5. Step 5: Solve for x
    x = 3,385,726,969/38,832
  6. Step 6: Final answer
    x = 87,189.10

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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.