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Finding the Third Proportional to 18,524 and 36,115

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Solution

The third proportional to 18,524 and 36,115 is: 70,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524 : 36,115 = 36,115 : x
  2. Step 2: Convert to fraction form
    18,524/36,115 = 36,115/x
  3. Step 3: Cross multiply
    18,524x = 36,115 × 36,115
  4. Step 4: Simplify right side
    18,524x = 1,304,293,225
  5. Step 5: Solve for x
    x = 1,304,293,225/18,524
  6. Step 6: Final answer
    x = 70,410.99

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.