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Finding the Third Proportional to 1,439.72 and 3,153.52

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Solution

The third proportional to 1,439.72 and 3,153.52 is: 6,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.72 : 3,153.52 = 3,153.52 : x
  2. Step 2: Convert to fraction form
    1,439.72/3,153.52 = 3,153.52/x
  3. Step 3: Cross multiply
    1,439.72x = 3,153.52 × 3,153.52
  4. Step 4: Simplify right side
    1,439.72x = 9,944,660.80
  5. Step 5: Solve for x
    x = 9,944,660.80/1,439.72
  6. Step 6: Final answer
    x = 6,907.36

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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.