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Finding the Third Proportional to 2,717.72 and 5,953.92

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Solution

The third proportional to 2,717.72 and 5,953.92 is: 13,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.72 : 5,953.92 = 5,953.92 : x
  2. Step 2: Convert to fraction form
    2,717.72/5,953.92 = 5,953.92/x
  3. Step 3: Cross multiply
    2,717.72x = 5,953.92 × 5,953.92
  4. Step 4: Simplify right side
    2,717.72x = 35,449,185.69
  5. Step 5: Solve for x
    x = 35,449,185.69/2,717.72
  6. Step 6: Final answer
    x = 13,043.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.