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Finding the Third Proportional to 25,000 and 54,384

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Solution

The third proportional to 25,000 and 54,384 is: 118,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,000 : 54,384 = 54,384 : x
  2. Step 2: Convert to fraction form
    25,000/54,384 = 54,384/x
  3. Step 3: Cross multiply
    25,000x = 54,384 × 54,384
  4. Step 4: Simplify right side
    25,000x = 2,957,619,456
  5. Step 5: Solve for x
    x = 2,957,619,456/25,000
  6. Step 6: Final answer
    x = 118,304.78

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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.