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Finding the Third Proportional to 5,986 and 9,188

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Solution

The third proportional to 5,986 and 9,188 is: 14,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986 : 9,188 = 9,188 : x
  2. Step 2: Convert to fraction form
    5,986/9,188 = 9,188/x
  3. Step 3: Cross multiply
    5,986x = 9,188 × 9,188
  4. Step 4: Simplify right side
    5,986x = 84,419,344
  5. Step 5: Solve for x
    x = 84,419,344/5,986
  6. Step 6: Final answer
    x = 14,102.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.