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Finding the Third Proportional to 943.75 and 1,080.75

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Solution

The third proportional to 943.75 and 1,080.75 is: 1,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.75 : 1,080.75 = 1,080.75 : x
  2. Step 2: Convert to fraction form
    943.75/1,080.75 = 1,080.75/x
  3. Step 3: Cross multiply
    943.75x = 1,080.75 × 1,080.75
  4. Step 4: Simplify right side
    943.75x = 1,168,020.56
  5. Step 5: Solve for x
    x = 1,168,020.56/943.75
  6. Step 6: Final answer
    x = 1,237.64

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.