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Finding the Third Proportional to 27,206 and 40,979

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Solution

The third proportional to 27,206 and 40,979 is: 61,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206 : 40,979 = 40,979 : x
  2. Step 2: Convert to fraction form
    27,206/40,979 = 40,979/x
  3. Step 3: Cross multiply
    27,206x = 40,979 × 40,979
  4. Step 4: Simplify right side
    27,206x = 1,679,278,441
  5. Step 5: Solve for x
    x = 1,679,278,441/27,206
  6. Step 6: Final answer
    x = 61,724.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.