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Finding the Third Proportional to 2,232.35 and 3,279.45

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Solution

The third proportional to 2,232.35 and 3,279.45 is: 4,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.35 : 3,279.45 = 3,279.45 : x
  2. Step 2: Convert to fraction form
    2,232.35/3,279.45 = 3,279.45/x
  3. Step 3: Cross multiply
    2,232.35x = 3,279.45 × 3,279.45
  4. Step 4: Simplify right side
    2,232.35x = 10,754,761.56
  5. Step 5: Solve for x
    x = 10,754,761.56/2,232.35
  6. Step 6: Final answer
    x = 4,817.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.