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Finding the Third Proportional to 18,464 and 27,079

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Solution

The third proportional to 18,464 and 27,079 is: 39,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,464 : 27,079 = 27,079 : x
  2. Step 2: Convert to fraction form
    18,464/27,079 = 27,079/x
  3. Step 3: Cross multiply
    18,464x = 27,079 × 27,079
  4. Step 4: Simplify right side
    18,464x = 733,272,241
  5. Step 5: Solve for x
    x = 733,272,241/18,464
  6. Step 6: Final answer
    x = 39,713.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.