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Finding the Third Proportional to 18,524.11 and 39,964.22

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Solution

The third proportional to 18,524.11 and 39,964.22 is: 86,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.11 : 39,964.22 = 39,964.22 : x
  2. Step 2: Convert to fraction form
    18,524.11/39,964.22 = 39,964.22/x
  3. Step 3: Cross multiply
    18,524.11x = 39,964.22 × 39,964.22
  4. Step 4: Simplify right side
    18,524.11x = 1,597,138,780.30
  5. Step 5: Solve for x
    x = 1,597,138,780.30/18,524.11
  6. Step 6: Final answer
    x = 86,219.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.