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Finding the Third Proportional to 18,722 and 40,441

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Solution

The third proportional to 18,722 and 40,441 is: 87,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,722 : 40,441 = 40,441 : x
  2. Step 2: Convert to fraction form
    18,722/40,441 = 40,441/x
  3. Step 3: Cross multiply
    18,722x = 40,441 × 40,441
  4. Step 4: Simplify right side
    18,722x = 1,635,474,481
  5. Step 5: Solve for x
    x = 1,635,474,481/18,722
  6. Step 6: Final answer
    x = 87,355.76

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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.