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Finding the Third Proportional to 11,716 and 27,656

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Solution

The third proportional to 11,716 and 27,656 is: 65,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716 : 27,656 = 27,656 : x
  2. Step 2: Convert to fraction form
    11,716/27,656 = 27,656/x
  3. Step 3: Cross multiply
    11,716x = 27,656 × 27,656
  4. Step 4: Simplify right side
    11,716x = 764,854,336
  5. Step 5: Solve for x
    x = 764,854,336/11,716
  6. Step 6: Final answer
    x = 65,282.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.