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Finding the Third Proportional to 38,524.50 and 54,091.50

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Solution

The third proportional to 38,524.50 and 54,091.50 is: 75,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524.50 : 54,091.50 = 54,091.50 : x
  2. Step 2: Convert to fraction form
    38,524.50/54,091.50 = 54,091.50/x
  3. Step 3: Cross multiply
    38,524.50x = 54,091.50 × 54,091.50
  4. Step 4: Simplify right side
    38,524.50x = 2,925,890,372.25
  5. Step 5: Solve for x
    x = 2,925,890,372.25/38,524.50
  6. Step 6: Final answer
    x = 75,948.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.