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Finding the Third Proportional to 24,909 and 52,680

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Solution

The third proportional to 24,909 and 52,680 is: 111,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909 : 52,680 = 52,680 : x
  2. Step 2: Convert to fraction form
    24,909/52,680 = 52,680/x
  3. Step 3: Cross multiply
    24,909x = 52,680 × 52,680
  4. Step 4: Simplify right side
    24,909x = 2,775,182,400
  5. Step 5: Solve for x
    x = 2,775,182,400/24,909
  6. Step 6: Final answer
    x = 111,412.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.