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Finding the Third Proportional to 27,988 and 59,192

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Solution

The third proportional to 27,988 and 59,192 is: 125,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988 : 59,192 = 59,192 : x
  2. Step 2: Convert to fraction form
    27,988/59,192 = 59,192/x
  3. Step 3: Cross multiply
    27,988x = 59,192 × 59,192
  4. Step 4: Simplify right side
    27,988x = 3,503,692,864
  5. Step 5: Solve for x
    x = 3,503,692,864/27,988
  6. Step 6: Final answer
    x = 125,185.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.