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Finding the Third Proportional to 25,244 and 54,908

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Solution

The third proportional to 25,244 and 54,908 is: 119,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,244 : 54,908 = 54,908 : x
  2. Step 2: Convert to fraction form
    25,244/54,908 = 54,908/x
  3. Step 3: Cross multiply
    25,244x = 54,908 × 54,908
  4. Step 4: Simplify right side
    25,244x = 3,014,888,464
  5. Step 5: Solve for x
    x = 3,014,888,464/25,244
  6. Step 6: Final answer
    x = 119,429.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.