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Finding the Third Proportional to 1,472.48 and 3,204.28

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Solution

The third proportional to 1,472.48 and 3,204.28 is: 6,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.48 : 3,204.28 = 3,204.28 : x
  2. Step 2: Convert to fraction form
    1,472.48/3,204.28 = 3,204.28/x
  3. Step 3: Cross multiply
    1,472.48x = 3,204.28 × 3,204.28
  4. Step 4: Simplify right side
    1,472.48x = 10,267,418.33
  5. Step 5: Solve for x
    x = 10,267,418.33/1,472.48
  6. Step 6: Final answer
    x = 6,972.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.