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Finding the Third Proportional to 22,352 and 48,857

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Solution

The third proportional to 22,352 and 48,857 is: 106,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352 : 48,857 = 48,857 : x
  2. Step 2: Convert to fraction form
    22,352/48,857 = 48,857/x
  3. Step 3: Cross multiply
    22,352x = 48,857 × 48,857
  4. Step 4: Simplify right side
    22,352x = 2,387,006,449
  5. Step 5: Solve for x
    x = 2,387,006,449/22,352
  6. Step 6: Final answer
    x = 106,791.63

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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.