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Finding the Third Proportional to 22,101 and 48,374

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Solution

The third proportional to 22,101 and 48,374 is: 105,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101 : 48,374 = 48,374 : x
  2. Step 2: Convert to fraction form
    22,101/48,374 = 48,374/x
  3. Step 3: Cross multiply
    22,101x = 48,374 × 48,374
  4. Step 4: Simplify right side
    22,101x = 2,340,043,876
  5. Step 5: Solve for x
    x = 2,340,043,876/22,101
  6. Step 6: Final answer
    x = 105,879.55

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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.