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Finding the Third Proportional to 2,732.91 and 4,004.44

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Solution

The third proportional to 2,732.91 and 4,004.44 is: 5,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.91 : 4,004.44 = 4,004.44 : x
  2. Step 2: Convert to fraction form
    2,732.91/4,004.44 = 4,004.44/x
  3. Step 3: Cross multiply
    2,732.91x = 4,004.44 × 4,004.44
  4. Step 4: Simplify right side
    2,732.91x = 16,035,519.69
  5. Step 5: Solve for x
    x = 16,035,519.69/2,732.91
  6. Step 6: Final answer
    x = 5,867.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.