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Finding the Third Proportional to 12,074 and 18,357

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Solution

The third proportional to 12,074 and 18,357 is: 27,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074 : 18,357 = 18,357 : x
  2. Step 2: Convert to fraction form
    12,074/18,357 = 18,357/x
  3. Step 3: Cross multiply
    12,074x = 18,357 × 18,357
  4. Step 4: Simplify right side
    12,074x = 336,979,449
  5. Step 5: Solve for x
    x = 336,979,449/12,074
  6. Step 6: Final answer
    x = 27,909.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.