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Finding the Third Proportional to 8,716 and 11,711

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Solution

The third proportional to 8,716 and 11,711 is: 15,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716 : 11,711 = 11,711 : x
  2. Step 2: Convert to fraction form
    8,716/11,711 = 11,711/x
  3. Step 3: Cross multiply
    8,716x = 11,711 × 11,711
  4. Step 4: Simplify right side
    8,716x = 137,147,521
  5. Step 5: Solve for x
    x = 137,147,521/8,716
  6. Step 6: Final answer
    x = 15,735.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.