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Finding the Third Proportional to 2,732.91 and 6,039.84

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Solution

The third proportional to 2,732.91 and 6,039.84 is: 13,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.91 : 6,039.84 = 6,039.84 : x
  2. Step 2: Convert to fraction form
    2,732.91/6,039.84 = 6,039.84/x
  3. Step 3: Cross multiply
    2,732.91x = 6,039.84 × 6,039.84
  4. Step 4: Simplify right side
    2,732.91x = 36,479,712.52
  5. Step 5: Solve for x
    x = 36,479,712.52/2,732.91
  6. Step 6: Final answer
    x = 13,348.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.