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Finding the Third Proportional to 951.75 and 1,359.28

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Solution

The third proportional to 951.75 and 1,359.28 is: 1,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.75 : 1,359.28 = 1,359.28 : x
  2. Step 2: Convert to fraction form
    951.75/1,359.28 = 1,359.28/x
  3. Step 3: Cross multiply
    951.75x = 1,359.28 × 1,359.28
  4. Step 4: Simplify right side
    951.75x = 1,847,645.52
  5. Step 5: Solve for x
    x = 1,847,645.52/951.75
  6. Step 6: Final answer
    x = 1,941.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.