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Finding the Third Proportional to 961.59 and 1,442.11

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Solution

The third proportional to 961.59 and 1,442.11 is: 2,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.59 : 1,442.11 = 1,442.11 : x
  2. Step 2: Convert to fraction form
    961.59/1,442.11 = 1,442.11/x
  3. Step 3: Cross multiply
    961.59x = 1,442.11 × 1,442.11
  4. Step 4: Simplify right side
    961.59x = 2,079,679.45
  5. Step 5: Solve for x
    x = 2,079,679.45/961.59
  6. Step 6: Final answer
    x = 2,162.74

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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.