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Finding the Third Proportional to 5,727 and 6,591

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Solution

The third proportional to 5,727 and 6,591 is: 7,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727 : 6,591 = 6,591 : x
  2. Step 2: Convert to fraction form
    5,727/6,591 = 6,591/x
  3. Step 3: Cross multiply
    5,727x = 6,591 × 6,591
  4. Step 4: Simplify right side
    5,727x = 43,441,281
  5. Step 5: Solve for x
    x = 43,441,281/5,727
  6. Step 6: Final answer
    x = 7,585.35

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.