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Finding the Third Proportional to 25,446.38 and 54,274.13

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Solution

The third proportional to 25,446.38 and 54,274.13 is: 115,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,446.38 : 54,274.13 = 54,274.13 : x
  2. Step 2: Convert to fraction form
    25,446.38/54,274.13 = 54,274.13/x
  3. Step 3: Cross multiply
    25,446.38x = 54,274.13 × 54,274.13
  4. Step 4: Simplify right side
    25,446.38x = 2,945,680,644.52
  5. Step 5: Solve for x
    x = 2,945,680,644.52/25,446.38
  6. Step 6: Final answer
    x = 115,760.33

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Why These Related Problems?

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