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Finding the Third Proportional to 31,996.27 and 31,996.27

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Solution

The third proportional to 31,996.27 and 31,996.27 is: 31,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.27 : 31,996.27 = 31,996.27 : x
  2. Step 2: Convert to fraction form
    31,996.27/31,996.27 = 31,996.27/x
  3. Step 3: Cross multiply
    31,996.27x = 31,996.27 × 31,996.27
  4. Step 4: Simplify right side
    31,996.27x = 1,023,761,013.95
  5. Step 5: Solve for x
    x = 1,023,761,013.95/31,996.27
  6. Step 6: Final answer
    x = 31,996.27

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Why These Related Problems?

These problems maintain the same ratio (1) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.