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Finding the Third Proportional to 22,644 and 48,386

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Solution

The third proportional to 22,644 and 48,386 is: 103,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644 : 48,386 = 48,386 : x
  2. Step 2: Convert to fraction form
    22,644/48,386 = 48,386/x
  3. Step 3: Cross multiply
    22,644x = 48,386 × 48,386
  4. Step 4: Simplify right side
    22,644x = 2,341,204,996
  5. Step 5: Solve for x
    x = 2,341,204,996/22,644
  6. Step 6: Final answer
    x = 103,391.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.