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Finding the Third Proportional to 8,062 and 11,353

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Solution

The third proportional to 8,062 and 11,353 is: 15,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062 : 11,353 = 11,353 : x
  2. Step 2: Convert to fraction form
    8,062/11,353 = 11,353/x
  3. Step 3: Cross multiply
    8,062x = 11,353 × 11,353
  4. Step 4: Simplify right side
    8,062x = 128,890,609
  5. Step 5: Solve for x
    x = 128,890,609/8,062
  6. Step 6: Final answer
    x = 15,987.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.