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Finding the Third Proportional to 11,716 and 25,832

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Solution

The third proportional to 11,716 and 25,832 is: 56,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716 : 25,832 = 25,832 : x
  2. Step 2: Convert to fraction form
    11,716/25,832 = 25,832/x
  3. Step 3: Cross multiply
    11,716x = 25,832 × 25,832
  4. Step 4: Simplify right side
    11,716x = 667,292,224
  5. Step 5: Solve for x
    x = 667,292,224/11,716
  6. Step 6: Final answer
    x = 56,955.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.