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Finding the Third Proportional to 751.88 and 1,633.69

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Solution

The third proportional to 751.88 and 1,633.69 is: 3,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.88 : 1,633.69 = 1,633.69 : x
  2. Step 2: Convert to fraction form
    751.88/1,633.69 = 1,633.69/x
  3. Step 3: Cross multiply
    751.88x = 1,633.69 × 1,633.69
  4. Step 4: Simplify right side
    751.88x = 2,668,934.85
  5. Step 5: Solve for x
    x = 2,668,934.85/751.88
  6. Step 6: Final answer
    x = 3,549.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.