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Finding the Third Proportional to 18,372 and 28,524

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Solution

The third proportional to 18,372 and 28,524 is: 44,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,372 : 28,524 = 28,524 : x
  2. Step 2: Convert to fraction form
    18,372/28,524 = 28,524/x
  3. Step 3: Cross multiply
    18,372x = 28,524 × 28,524
  4. Step 4: Simplify right side
    18,372x = 813,618,576
  5. Step 5: Solve for x
    x = 813,618,576/18,372
  6. Step 6: Final answer
    x = 44,285.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.