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Finding the Third Proportional to 22,241 and 48,587

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Solution

The third proportional to 22,241 and 48,587 is: 106,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241 : 48,587 = 48,587 : x
  2. Step 2: Convert to fraction form
    22,241/48,587 = 48,587/x
  3. Step 3: Cross multiply
    22,241x = 48,587 × 48,587
  4. Step 4: Simplify right side
    22,241x = 2,360,696,569
  5. Step 5: Solve for x
    x = 2,360,696,569/22,241
  6. Step 6: Final answer
    x = 106,141.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.