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Finding the Third Proportional to 11,870 and 17,831

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Solution

The third proportional to 11,870 and 17,831 is: 26,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870 : 17,831 = 17,831 : x
  2. Step 2: Convert to fraction form
    11,870/17,831 = 17,831/x
  3. Step 3: Cross multiply
    11,870x = 17,831 × 17,831
  4. Step 4: Simplify right side
    11,870x = 317,944,561
  5. Step 5: Solve for x
    x = 317,944,561/11,870
  6. Step 6: Final answer
    x = 26,785.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.