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Finding the Third Proportional to 26,979.75 and 31,839.75

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Solution

The third proportional to 26,979.75 and 31,839.75 is: 37,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,979.75 : 31,839.75 = 31,839.75 : x
  2. Step 2: Convert to fraction form
    26,979.75/31,839.75 = 31,839.75/x
  3. Step 3: Cross multiply
    26,979.75x = 31,839.75 × 31,839.75
  4. Step 4: Simplify right side
    26,979.75x = 1,013,769,680.06
  5. Step 5: Solve for x
    x = 1,013,769,680.06/26,979.75
  6. Step 6: Final answer
    x = 37,575.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.