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Finding the Third Proportional to 18,857.18 and 37,233.11

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Solution

The third proportional to 18,857.18 and 37,233.11 is: 73,515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,857.18 : 37,233.11 = 37,233.11 : x
  2. Step 2: Convert to fraction form
    18,857.18/37,233.11 = 37,233.11/x
  3. Step 3: Cross multiply
    18,857.18x = 37,233.11 × 37,233.11
  4. Step 4: Simplify right side
    18,857.18x = 1,386,304,142.85
  5. Step 5: Solve for x
    x = 1,386,304,142.85/18,857.18
  6. Step 6: Final answer
    x = 73,515.99

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.