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Finding the Third Proportional to 26,983.13 and 31,843.13

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Solution

The third proportional to 26,983.13 and 31,843.13 is: 37,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,983.13 : 31,843.13 = 31,843.13 : x
  2. Step 2: Convert to fraction form
    26,983.13/31,843.13 = 31,843.13/x
  3. Step 3: Cross multiply
    26,983.13x = 31,843.13 × 31,843.13
  4. Step 4: Simplify right side
    26,983.13x = 1,013,984,609.77
  5. Step 5: Solve for x
    x = 1,013,984,609.77/26,983.13
  6. Step 6: Final answer
    x = 37,578.47

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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.