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Finding the Third Proportional to 18,460.97 and 27,685.69

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Solution

The third proportional to 18,460.97 and 27,685.69 is: 41,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460.97 : 27,685.69 = 27,685.69 : x
  2. Step 2: Convert to fraction form
    18,460.97/27,685.69 = 27,685.69/x
  3. Step 3: Cross multiply
    18,460.97x = 27,685.69 × 27,685.69
  4. Step 4: Simplify right side
    18,460.97x = 766,497,292.35
  5. Step 5: Solve for x
    x = 766,497,292.35/18,460.97
  6. Step 6: Final answer
    x = 41,519.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.