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Finding the Third Proportional to 27,504 and 42,192

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Solution

The third proportional to 27,504 and 42,192 is: 64,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504 : 42,192 = 42,192 : x
  2. Step 2: Convert to fraction form
    27,504/42,192 = 42,192/x
  3. Step 3: Cross multiply
    27,504x = 42,192 × 42,192
  4. Step 4: Simplify right side
    27,504x = 1,780,164,864
  5. Step 5: Solve for x
    x = 1,780,164,864/27,504
  6. Step 6: Final answer
    x = 64,723.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.