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Finding the Third Proportional to 2,731.22 and 5,976.91

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Solution

The third proportional to 2,731.22 and 5,976.91 is: 13,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.22 : 5,976.91 = 5,976.91 : x
  2. Step 2: Convert to fraction form
    2,731.22/5,976.91 = 5,976.91/x
  3. Step 3: Cross multiply
    2,731.22x = 5,976.91 × 5,976.91
  4. Step 4: Simplify right side
    2,731.22x = 35,723,501.71
  5. Step 5: Solve for x
    x = 35,723,501.71/2,731.22
  6. Step 6: Final answer
    x = 13,079.69

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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.