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Finding the Third Proportional to 983.25 and 1,375.25

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Solution

The third proportional to 983.25 and 1,375.25 is: 1,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.25 : 1,375.25 = 1,375.25 : x
  2. Step 2: Convert to fraction form
    983.25/1,375.25 = 1,375.25/x
  3. Step 3: Cross multiply
    983.25x = 1,375.25 × 1,375.25
  4. Step 4: Simplify right side
    983.25x = 1,891,312.56
  5. Step 5: Solve for x
    x = 1,891,312.56/983.25
  6. Step 6: Final answer
    x = 1,923.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.