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Finding the Third Proportional to 5,778.84 and 6,343.31

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Solution

The third proportional to 5,778.84 and 6,343.31 is: 6,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.84 : 6,343.31 = 6,343.31 : x
  2. Step 2: Convert to fraction form
    5,778.84/6,343.31 = 6,343.31/x
  3. Step 3: Cross multiply
    5,778.84x = 6,343.31 × 6,343.31
  4. Step 4: Simplify right side
    5,778.84x = 40,237,613.47
  5. Step 5: Solve for x
    x = 40,237,613.47/5,778.84
  6. Step 6: Final answer
    x = 6,962.92

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.