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Finding the Third Proportional to 25,464.38 and 54,614.25

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Solution

The third proportional to 25,464.38 and 54,614.25 is: 117,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464.38 : 54,614.25 = 54,614.25 : x
  2. Step 2: Convert to fraction form
    25,464.38/54,614.25 = 54,614.25/x
  3. Step 3: Cross multiply
    25,464.38x = 54,614.25 × 54,614.25
  4. Step 4: Simplify right side
    25,464.38x = 2,982,716,303.06
  5. Step 5: Solve for x
    x = 2,982,716,303.06/25,464.38
  6. Step 6: Final answer
    x = 117,132.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.