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Finding the Third Proportional to 3,174.19 and 5,239.69

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Solution

The third proportional to 3,174.19 and 5,239.69 is: 8,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.19 : 5,239.69 = 5,239.69 : x
  2. Step 2: Convert to fraction form
    3,174.19/5,239.69 = 5,239.69/x
  3. Step 3: Cross multiply
    3,174.19x = 5,239.69 × 5,239.69
  4. Step 4: Simplify right side
    3,174.19x = 27,454,325.10
  5. Step 5: Solve for x
    x = 27,454,325.10/3,174.19
  6. Step 6: Final answer
    x = 8,649.24

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.