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Finding the Third Proportional to 24,304 and 51,979

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Solution

The third proportional to 24,304 and 51,979 is: 111,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,304 : 51,979 = 51,979 : x
  2. Step 2: Convert to fraction form
    24,304/51,979 = 51,979/x
  3. Step 3: Cross multiply
    24,304x = 51,979 × 51,979
  4. Step 4: Simplify right side
    24,304x = 2,701,816,441
  5. Step 5: Solve for x
    x = 2,701,816,441/24,304
  6. Step 6: Final answer
    x = 111,167.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.