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Finding the Third Proportional to 31,016.25 and 33,932.25

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Solution

The third proportional to 31,016.25 and 33,932.25 is: 37,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.25 : 33,932.25 = 33,932.25 : x
  2. Step 2: Convert to fraction form
    31,016.25/33,932.25 = 33,932.25/x
  3. Step 3: Cross multiply
    31,016.25x = 33,932.25 × 33,932.25
  4. Step 4: Simplify right side
    31,016.25x = 1,151,397,590.06
  5. Step 5: Solve for x
    x = 1,151,397,590.06/31,016.25
  6. Step 6: Final answer
    x = 37,122.40

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.