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Finding the Third Proportional to 12,322 and 27,182

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Solution

The third proportional to 12,322 and 27,182 is: 59,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322 : 27,182 = 27,182 : x
  2. Step 2: Convert to fraction form
    12,322/27,182 = 27,182/x
  3. Step 3: Cross multiply
    12,322x = 27,182 × 27,182
  4. Step 4: Simplify right side
    12,322x = 738,861,124
  5. Step 5: Solve for x
    x = 738,861,124/12,322
  6. Step 6: Final answer
    x = 59,962.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.