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Finding the Third Proportional to 3,782 and 5,376

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Solution

The third proportional to 3,782 and 5,376 is: 7,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782 : 5,376 = 5,376 : x
  2. Step 2: Convert to fraction form
    3,782/5,376 = 5,376/x
  3. Step 3: Cross multiply
    3,782x = 5,376 × 5,376
  4. Step 4: Simplify right side
    3,782x = 28,901,376
  5. Step 5: Solve for x
    x = 28,901,376/3,782
  6. Step 6: Final answer
    x = 7,641.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.