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Finding the Third Proportional to 961.24 and 1,473.61

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Solution

The third proportional to 961.24 and 1,473.61 is: 2,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.24 : 1,473.61 = 1,473.61 : x
  2. Step 2: Convert to fraction form
    961.24/1,473.61 = 1,473.61/x
  3. Step 3: Cross multiply
    961.24x = 1,473.61 × 1,473.61
  4. Step 4: Simplify right side
    961.24x = 2,171,524.59
  5. Step 5: Solve for x
    x = 2,171,524.59/961.24
  6. Step 6: Final answer
    x = 2,259.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.