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Finding the Third Proportional to 11,416 and 15,188

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Solution

The third proportional to 11,416 and 15,188 is: 20,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416 : 15,188 = 15,188 : x
  2. Step 2: Convert to fraction form
    11,416/15,188 = 15,188/x
  3. Step 3: Cross multiply
    11,416x = 15,188 × 15,188
  4. Step 4: Simplify right side
    11,416x = 230,675,344
  5. Step 5: Solve for x
    x = 230,675,344/11,416
  6. Step 6: Final answer
    x = 20,206.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.