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Finding the Third Proportional to 1,552.31 and 3,235.69

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Solution

The third proportional to 1,552.31 and 3,235.69 is: 6,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.31 : 3,235.69 = 3,235.69 : x
  2. Step 2: Convert to fraction form
    1,552.31/3,235.69 = 3,235.69/x
  3. Step 3: Cross multiply
    1,552.31x = 3,235.69 × 3,235.69
  4. Step 4: Simplify right side
    1,552.31x = 10,469,673.60
  5. Step 5: Solve for x
    x = 10,469,673.60/1,552.31
  6. Step 6: Final answer
    x = 6,744.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.