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Finding the Third Proportional to 8,496 and 11,475

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Solution

The third proportional to 8,496 and 11,475 is: 15,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496 : 11,475 = 11,475 : x
  2. Step 2: Convert to fraction form
    8,496/11,475 = 11,475/x
  3. Step 3: Cross multiply
    8,496x = 11,475 × 11,475
  4. Step 4: Simplify right side
    8,496x = 131,675,625
  5. Step 5: Solve for x
    x = 131,675,625/8,496
  6. Step 6: Final answer
    x = 15,498.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.