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Finding the Third Proportional to 5,737 and 6,277

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Solution

The third proportional to 5,737 and 6,277 is: 6,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737 : 6,277 = 6,277 : x
  2. Step 2: Convert to fraction form
    5,737/6,277 = 6,277/x
  3. Step 3: Cross multiply
    5,737x = 6,277 × 6,277
  4. Step 4: Simplify right side
    5,737x = 39,400,729
  5. Step 5: Solve for x
    x = 39,400,729/5,737
  6. Step 6: Final answer
    x = 6,867.83

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.