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Finding the Third Proportional to 25,757.52 and 54,917.24

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Solution

The third proportional to 25,757.52 and 54,917.24 is: 117,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.52 : 54,917.24 = 54,917.24 : x
  2. Step 2: Convert to fraction form
    25,757.52/54,917.24 = 54,917.24/x
  3. Step 3: Cross multiply
    25,757.52x = 54,917.24 × 54,917.24
  4. Step 4: Simplify right side
    25,757.52x = 3,015,903,704.00
  5. Step 5: Solve for x
    x = 3,015,903,704.00/25,757.52
  6. Step 6: Final answer
    x = 117,088.30

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.