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Finding the Third Proportional to 38,278.50 and 54,439.50

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Solution

The third proportional to 38,278.50 and 54,439.50 is: 77,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278.50 : 54,439.50 = 54,439.50 : x
  2. Step 2: Convert to fraction form
    38,278.50/54,439.50 = 54,439.50/x
  3. Step 3: Cross multiply
    38,278.50x = 54,439.50 × 54,439.50
  4. Step 4: Simplify right side
    38,278.50x = 2,963,659,160.25
  5. Step 5: Solve for x
    x = 2,963,659,160.25/38,278.50
  6. Step 6: Final answer
    x = 77,423.60

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.