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Finding the Third Proportional to 11,422 and 23,612

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Solution

The third proportional to 11,422 and 23,612 is: 48,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422 : 23,612 = 23,612 : x
  2. Step 2: Convert to fraction form
    11,422/23,612 = 23,612/x
  3. Step 3: Cross multiply
    11,422x = 23,612 × 23,612
  4. Step 4: Simplify right side
    11,422x = 557,526,544
  5. Step 5: Solve for x
    x = 557,526,544/11,422
  6. Step 6: Final answer
    x = 48,811.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.