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Finding the Third Proportional to 2,782 and 4,314

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Solution

The third proportional to 2,782 and 4,314 is: 6,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782 : 4,314 = 4,314 : x
  2. Step 2: Convert to fraction form
    2,782/4,314 = 4,314/x
  3. Step 3: Cross multiply
    2,782x = 4,314 × 4,314
  4. Step 4: Simplify right side
    2,782x = 18,610,596
  5. Step 5: Solve for x
    x = 18,610,596/2,782
  6. Step 6: Final answer
    x = 6,689.65

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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.