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Finding the Third Proportional to 981.44 and 1,375.47

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Solution

The third proportional to 981.44 and 1,375.47 is: 1,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.44 : 1,375.47 = 1,375.47 : x
  2. Step 2: Convert to fraction form
    981.44/1,375.47 = 1,375.47/x
  3. Step 3: Cross multiply
    981.44x = 1,375.47 × 1,375.47
  4. Step 4: Simplify right side
    981.44x = 1,891,914.28
  5. Step 5: Solve for x
    x = 1,891,914.28/981.44
  6. Step 6: Final answer
    x = 1,927.70

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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.