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Finding the Third Proportional to 18,711 and 31,182

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Solution

The third proportional to 18,711 and 31,182 is: 51,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,711 : 31,182 = 31,182 : x
  2. Step 2: Convert to fraction form
    18,711/31,182 = 31,182/x
  3. Step 3: Cross multiply
    18,711x = 31,182 × 31,182
  4. Step 4: Simplify right side
    18,711x = 972,317,124
  5. Step 5: Solve for x
    x = 972,317,124/18,711
  6. Step 6: Final answer
    x = 51,965.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.