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Finding the Third Proportional to 10,988 and 24,163

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Solution

The third proportional to 10,988 and 24,163 is: 53,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988 : 24,163 = 24,163 : x
  2. Step 2: Convert to fraction form
    10,988/24,163 = 24,163/x
  3. Step 3: Cross multiply
    10,988x = 24,163 × 24,163
  4. Step 4: Simplify right side
    10,988x = 583,850,569
  5. Step 5: Solve for x
    x = 583,850,569/10,988
  6. Step 6: Final answer
    x = 53,135.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.