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Finding the Third Proportional to 22,376 and 48,959

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Solution

The third proportional to 22,376 and 48,959 is: 107,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376 : 48,959 = 48,959 : x
  2. Step 2: Convert to fraction form
    22,376/48,959 = 48,959/x
  3. Step 3: Cross multiply
    22,376x = 48,959 × 48,959
  4. Step 4: Simplify right side
    22,376x = 2,396,983,681
  5. Step 5: Solve for x
    x = 2,396,983,681/22,376
  6. Step 6: Final answer
    x = 107,122.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.