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Finding the Third Proportional to 24,988 and 54,329

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Solution

The third proportional to 24,988 and 54,329 is: 118,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,988 : 54,329 = 54,329 : x
  2. Step 2: Convert to fraction form
    24,988/54,329 = 54,329/x
  3. Step 3: Cross multiply
    24,988x = 54,329 × 54,329
  4. Step 4: Simplify right side
    24,988x = 2,951,640,241
  5. Step 5: Solve for x
    x = 2,951,640,241/24,988
  6. Step 6: Final answer
    x = 118,122.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.