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Finding the Third Proportional to 22,874 and 49,156

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Solution

The third proportional to 22,874 and 49,156 is: 105,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874 : 49,156 = 49,156 : x
  2. Step 2: Convert to fraction form
    22,874/49,156 = 49,156/x
  3. Step 3: Cross multiply
    22,874x = 49,156 × 49,156
  4. Step 4: Simplify right side
    22,874x = 2,416,312,336
  5. Step 5: Solve for x
    x = 2,416,312,336/22,874
  6. Step 6: Final answer
    x = 105,635.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.