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Finding the Third Proportional to 3,239.44 and 5,812.59

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Solution

The third proportional to 3,239.44 and 5,812.59 is: 10,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.44 : 5,812.59 = 5,812.59 : x
  2. Step 2: Convert to fraction form
    3,239.44/5,812.59 = 5,812.59/x
  3. Step 3: Cross multiply
    3,239.44x = 5,812.59 × 5,812.59
  4. Step 4: Simplify right side
    3,239.44x = 33,786,246.10
  5. Step 5: Solve for x
    x = 33,786,246.10/3,239.44
  6. Step 6: Final answer
    x = 10,429.66

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.