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Finding the Third Proportional to 5,868.28 and 12,731.77

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Solution

The third proportional to 5,868.28 and 12,731.77 is: 27,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.28 : 12,731.77 = 12,731.77 : x
  2. Step 2: Convert to fraction form
    5,868.28/12,731.77 = 12,731.77/x
  3. Step 3: Cross multiply
    5,868.28x = 12,731.77 × 12,731.77
  4. Step 4: Simplify right side
    5,868.28x = 162,097,855.93
  5. Step 5: Solve for x
    x = 162,097,855.93/5,868.28
  6. Step 6: Final answer
    x = 27,622.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.