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Finding the Third Proportional to 23,009.06 and 30,731.91

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Solution

The third proportional to 23,009.06 and 30,731.91 is: 41,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.06 : 30,731.91 = 30,731.91 : x
  2. Step 2: Convert to fraction form
    23,009.06/30,731.91 = 30,731.91/x
  3. Step 3: Cross multiply
    23,009.06x = 30,731.91 × 30,731.91
  4. Step 4: Simplify right side
    23,009.06x = 944,450,061.76
  5. Step 5: Solve for x
    x = 944,450,061.76/23,009.06
  6. Step 6: Final answer
    x = 41,046.87

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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.