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Finding the Third Proportional to 750.94 and 951.47

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Solution

The third proportional to 750.94 and 951.47 is: 1,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.94 : 951.47 = 951.47 : x
  2. Step 2: Convert to fraction form
    750.94/951.47 = 951.47/x
  3. Step 3: Cross multiply
    750.94x = 951.47 × 951.47
  4. Step 4: Simplify right side
    750.94x = 905,292.78
  5. Step 5: Solve for x
    x = 905,292.78/750.94
  6. Step 6: Final answer
    x = 1,205.55

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.