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Finding the Third Proportional to 1,446.75 and 3,174.75

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Solution

The third proportional to 1,446.75 and 3,174.75 is: 6,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.75 : 3,174.75 = 3,174.75 : x
  2. Step 2: Convert to fraction form
    1,446.75/3,174.75 = 3,174.75/x
  3. Step 3: Cross multiply
    1,446.75x = 3,174.75 × 3,174.75
  4. Step 4: Simplify right side
    1,446.75x = 10,079,037.56
  5. Step 5: Solve for x
    x = 10,079,037.56/1,446.75
  6. Step 6: Final answer
    x = 6,966.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.