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Finding the Third Proportional to 24,960 and 54,609

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Solution

The third proportional to 24,960 and 54,609 is: 119,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,960 : 54,609 = 54,609 : x
  2. Step 2: Convert to fraction form
    24,960/54,609 = 54,609/x
  3. Step 3: Cross multiply
    24,960x = 54,609 × 54,609
  4. Step 4: Simplify right side
    24,960x = 2,982,142,881
  5. Step 5: Solve for x
    x = 2,982,142,881/24,960
  6. Step 6: Final answer
    x = 119,476.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.