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Finding the Third Proportional to 6,853 and 9,591

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Solution

The third proportional to 6,853 and 9,591 is: 13,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853 : 9,591 = 9,591 : x
  2. Step 2: Convert to fraction form
    6,853/9,591 = 9,591/x
  3. Step 3: Cross multiply
    6,853x = 9,591 × 9,591
  4. Step 4: Simplify right side
    6,853x = 91,987,281
  5. Step 5: Solve for x
    x = 91,987,281/6,853
  6. Step 6: Final answer
    x = 13,422.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.