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Finding the Third Proportional to 24,360 and 49,872

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Solution

The third proportional to 24,360 and 49,872 is: 102,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360 : 49,872 = 49,872 : x
  2. Step 2: Convert to fraction form
    24,360/49,872 = 49,872/x
  3. Step 3: Cross multiply
    24,360x = 49,872 × 49,872
  4. Step 4: Simplify right side
    24,360x = 2,487,216,384
  5. Step 5: Solve for x
    x = 2,487,216,384/24,360
  6. Step 6: Final answer
    x = 102,102.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.