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Finding the Third Proportional to 750.75 and 1,651.69

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Solution

The third proportional to 750.75 and 1,651.69 is: 3,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.75 : 1,651.69 = 1,651.69 : x
  2. Step 2: Convert to fraction form
    750.75/1,651.69 = 1,651.69/x
  3. Step 3: Cross multiply
    750.75x = 1,651.69 × 1,651.69
  4. Step 4: Simplify right side
    750.75x = 2,728,071.60
  5. Step 5: Solve for x
    x = 2,728,071.60/750.75
  6. Step 6: Final answer
    x = 3,633.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.