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Finding the Third Proportional to 8,403 and 11,757

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Solution

The third proportional to 8,403 and 11,757 is: 16,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403 : 11,757 = 11,757 : x
  2. Step 2: Convert to fraction form
    8,403/11,757 = 11,757/x
  3. Step 3: Cross multiply
    8,403x = 11,757 × 11,757
  4. Step 4: Simplify right side
    8,403x = 138,227,049
  5. Step 5: Solve for x
    x = 138,227,049/8,403
  6. Step 6: Final answer
    x = 16,449.73

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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.