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Finding the Third Proportional to 25,815.38 and 54,727.31

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Solution

The third proportional to 25,815.38 and 54,727.31 is: 116,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815.38 : 54,727.31 = 54,727.31 : x
  2. Step 2: Convert to fraction form
    25,815.38/54,727.31 = 54,727.31/x
  3. Step 3: Cross multiply
    25,815.38x = 54,727.31 × 54,727.31
  4. Step 4: Simplify right side
    25,815.38x = 2,995,078,733.47
  5. Step 5: Solve for x
    x = 2,995,078,733.47/25,815.38
  6. Step 6: Final answer
    x = 116,019.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.