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Finding the Third Proportional to 5,752.69 and 6,218.44

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Solution

The third proportional to 5,752.69 and 6,218.44 is: 6,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.69 : 6,218.44 = 6,218.44 : x
  2. Step 2: Convert to fraction form
    5,752.69/6,218.44 = 6,218.44/x
  3. Step 3: Cross multiply
    5,752.69x = 6,218.44 × 6,218.44
  4. Step 4: Simplify right side
    5,752.69x = 38,668,964.94
  5. Step 5: Solve for x
    x = 38,668,964.94/5,752.69
  6. Step 6: Final answer
    x = 6,721.90

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.