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Finding the Third Proportional to 5,461 and 8,218

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Solution

The third proportional to 5,461 and 8,218 is: 12,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461 : 8,218 = 8,218 : x
  2. Step 2: Convert to fraction form
    5,461/8,218 = 8,218/x
  3. Step 3: Cross multiply
    5,461x = 8,218 × 8,218
  4. Step 4: Simplify right side
    5,461x = 67,535,524
  5. Step 5: Solve for x
    x = 67,535,524/5,461
  6. Step 6: Final answer
    x = 12,366.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.