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Finding the Third Proportional to 38,814.19 and 54,928.13

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Solution

The third proportional to 38,814.19 and 54,928.13 is: 77,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,814.19 : 54,928.13 = 54,928.13 : x
  2. Step 2: Convert to fraction form
    38,814.19/54,928.13 = 54,928.13/x
  3. Step 3: Cross multiply
    38,814.19x = 54,928.13 × 54,928.13
  4. Step 4: Simplify right side
    38,814.19x = 3,017,098,916.02
  5. Step 5: Solve for x
    x = 3,017,098,916.02/38,814.19
  6. Step 6: Final answer
    x = 77,731.86

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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.