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Finding the Third Proportional to 48,644 and 79,422

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Solution

The third proportional to 48,644 and 79,422 is: 129,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,644 : 79,422 = 79,422 : x
  2. Step 2: Convert to fraction form
    48,644/79,422 = 79,422/x
  3. Step 3: Cross multiply
    48,644x = 79,422 × 79,422
  4. Step 4: Simplify right side
    48,644x = 6,307,854,084
  5. Step 5: Solve for x
    x = 6,307,854,084/48,644
  6. Step 6: Final answer
    x = 129,673.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.