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Finding the Third Proportional to 23,009.06 and 30,891.38

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Solution

The third proportional to 23,009.06 and 30,891.38 is: 41,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.06 : 30,891.38 = 30,891.38 : x
  2. Step 2: Convert to fraction form
    23,009.06/30,891.38 = 30,891.38/x
  3. Step 3: Cross multiply
    23,009.06x = 30,891.38 × 30,891.38
  4. Step 4: Simplify right side
    23,009.06x = 954,277,049.39
  5. Step 5: Solve for x
    x = 954,277,049.39/23,009.06
  6. Step 6: Final answer
    x = 41,473.96

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.