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Finding the Third Proportional to 22,711 and 49,796

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Solution

The third proportional to 22,711 and 49,796 is: 109,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711 : 49,796 = 49,796 : x
  2. Step 2: Convert to fraction form
    22,711/49,796 = 49,796/x
  3. Step 3: Cross multiply
    22,711x = 49,796 × 49,796
  4. Step 4: Simplify right side
    22,711x = 2,479,641,616
  5. Step 5: Solve for x
    x = 2,479,641,616/22,711
  6. Step 6: Final answer
    x = 109,182.41

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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.