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Finding the Third Proportional to 961.45 and 1,442.39

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Solution

The third proportional to 961.45 and 1,442.39 is: 2,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.45 : 1,442.39 = 1,442.39 : x
  2. Step 2: Convert to fraction form
    961.45/1,442.39 = 1,442.39/x
  3. Step 3: Cross multiply
    961.45x = 1,442.39 × 1,442.39
  4. Step 4: Simplify right side
    961.45x = 2,080,490.72
  5. Step 5: Solve for x
    x = 2,080,490.72/961.45
  6. Step 6: Final answer
    x = 2,163.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.