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Finding the Third Proportional to 16,214 and 24,218

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Solution

The third proportional to 16,214 and 24,218 is: 36,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214 : 24,218 = 24,218 : x
  2. Step 2: Convert to fraction form
    16,214/24,218 = 24,218/x
  3. Step 3: Cross multiply
    16,214x = 24,218 × 24,218
  4. Step 4: Simplify right side
    16,214x = 586,511,524
  5. Step 5: Solve for x
    x = 586,511,524/16,214
  6. Step 6: Final answer
    x = 36,173.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.