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Finding the Third Proportional to 25,470 and 54,225

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Solution

The third proportional to 25,470 and 54,225 is: 115,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470 : 54,225 = 54,225 : x
  2. Step 2: Convert to fraction form
    25,470/54,225 = 54,225/x
  3. Step 3: Cross multiply
    25,470x = 54,225 × 54,225
  4. Step 4: Simplify right side
    25,470x = 2,940,350,625
  5. Step 5: Solve for x
    x = 2,940,350,625/25,470
  6. Step 6: Final answer
    x = 115,443.68

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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.