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Finding the Third Proportional to 5,720 and 6,314

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Solution

The third proportional to 5,720 and 6,314 is: 6,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720 : 6,314 = 6,314 : x
  2. Step 2: Convert to fraction form
    5,720/6,314 = 6,314/x
  3. Step 3: Cross multiply
    5,720x = 6,314 × 6,314
  4. Step 4: Simplify right side
    5,720x = 39,866,596
  5. Step 5: Solve for x
    x = 39,866,596/5,720
  6. Step 6: Final answer
    x = 6,969.68

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.