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Finding the Third Proportional to 18,630 and 27,691.88

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Solution

The third proportional to 18,630 and 27,691.88 is: 41,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,630 : 27,691.88 = 27,691.88 : x
  2. Step 2: Convert to fraction form
    18,630/27,691.88 = 27,691.88/x
  3. Step 3: Cross multiply
    18,630x = 27,691.88 × 27,691.88
  4. Step 4: Simplify right side
    18,630x = 766,839,941.02
  5. Step 5: Solve for x
    x = 766,839,941.02/18,630
  6. Step 6: Final answer
    x = 41,161.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.