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Finding the Third Proportional to 5,239.69 and 5,778.84

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Solution

The third proportional to 5,239.69 and 5,778.84 is: 6,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.69 : 5,778.84 = 5,778.84 : x
  2. Step 2: Convert to fraction form
    5,239.69/5,778.84 = 5,778.84/x
  3. Step 3: Cross multiply
    5,239.69x = 5,778.84 × 5,778.84
  4. Step 4: Simplify right side
    5,239.69x = 33,395,035.09
  5. Step 5: Solve for x
    x = 33,395,035.09/5,239.69
  6. Step 6: Final answer
    x = 6,373.48

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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.