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Finding the Third Proportional to 22,286 and 48,864

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Solution

The third proportional to 22,286 and 48,864 is: 107,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286 : 48,864 = 48,864 : x
  2. Step 2: Convert to fraction form
    22,286/48,864 = 48,864/x
  3. Step 3: Cross multiply
    22,286x = 48,864 × 48,864
  4. Step 4: Simplify right side
    22,286x = 2,387,690,496
  5. Step 5: Solve for x
    x = 2,387,690,496/22,286
  6. Step 6: Final answer
    x = 107,138.58

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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.