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Finding the Third Proportional to 38,166 and 58,382.25

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Solution

The third proportional to 38,166 and 58,382.25 is: 89,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166 : 58,382.25 = 58,382.25 : x
  2. Step 2: Convert to fraction form
    38,166/58,382.25 = 58,382.25/x
  3. Step 3: Cross multiply
    38,166x = 58,382.25 × 58,382.25
  4. Step 4: Simplify right side
    38,166x = 3,408,487,115.06
  5. Step 5: Solve for x
    x = 3,408,487,115.06/38,166
  6. Step 6: Final answer
    x = 89,306.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.