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Finding the Third Proportional to 967.25 and 1,479.83

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Solution

The third proportional to 967.25 and 1,479.83 is: 2,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.25 : 1,479.83 = 1,479.83 : x
  2. Step 2: Convert to fraction form
    967.25/1,479.83 = 1,479.83/x
  3. Step 3: Cross multiply
    967.25x = 1,479.83 × 1,479.83
  4. Step 4: Simplify right side
    967.25x = 2,189,902.84
  5. Step 5: Solve for x
    x = 2,189,902.84/967.25
  6. Step 6: Final answer
    x = 2,264.04

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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.