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Finding the Third Proportional to 961.88 and 1,449.77

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Solution

The third proportional to 961.88 and 1,449.77 is: 2,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.88 : 1,449.77 = 1,449.77 : x
  2. Step 2: Convert to fraction form
    961.88/1,449.77 = 1,449.77/x
  3. Step 3: Cross multiply
    961.88x = 1,449.77 × 1,449.77
  4. Step 4: Simplify right side
    961.88x = 2,101,843.02
  5. Step 5: Solve for x
    x = 2,101,843.02/961.88
  6. Step 6: Final answer
    x = 2,185.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.