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Finding the Third Proportional to 3,818 and 8,374

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Solution

The third proportional to 3,818 and 8,374 is: 18,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818 : 8,374 = 8,374 : x
  2. Step 2: Convert to fraction form
    3,818/8,374 = 8,374/x
  3. Step 3: Cross multiply
    3,818x = 8,374 × 8,374
  4. Step 4: Simplify right side
    3,818x = 70,123,876
  5. Step 5: Solve for x
    x = 70,123,876/3,818
  6. Step 6: Final answer
    x = 18,366.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.