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Finding the Third Proportional to 960.61 and 1,358.86

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Solution

The third proportional to 960.61 and 1,358.86 is: 1,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.61 : 1,358.86 = 1,358.86 : x
  2. Step 2: Convert to fraction form
    960.61/1,358.86 = 1,358.86/x
  3. Step 3: Cross multiply
    960.61x = 1,358.86 × 1,358.86
  4. Step 4: Simplify right side
    960.61x = 1,846,498.80
  5. Step 5: Solve for x
    x = 1,846,498.80/960.61
  6. Step 6: Final answer
    x = 1,922.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.