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Finding the Third Proportional to 27,748 and 37,192

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Solution

The third proportional to 27,748 and 37,192 is: 49,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748 : 37,192 = 37,192 : x
  2. Step 2: Convert to fraction form
    27,748/37,192 = 37,192/x
  3. Step 3: Cross multiply
    27,748x = 37,192 × 37,192
  4. Step 4: Simplify right side
    27,748x = 1,383,244,864
  5. Step 5: Solve for x
    x = 1,383,244,864/27,748
  6. Step 6: Final answer
    x = 49,850.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.