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Finding the Third Proportional to 11,416 and 15,162

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Solution

The third proportional to 11,416 and 15,162 is: 20,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416 : 15,162 = 15,162 : x
  2. Step 2: Convert to fraction form
    11,416/15,162 = 15,162/x
  3. Step 3: Cross multiply
    11,416x = 15,162 × 15,162
  4. Step 4: Simplify right side
    11,416x = 229,886,244
  5. Step 5: Solve for x
    x = 229,886,244/11,416
  6. Step 6: Final answer
    x = 20,137.20

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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.