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Finding the Third Proportional to 891.75 and 1,251.38

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Solution

The third proportional to 891.75 and 1,251.38 is: 1,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.75 : 1,251.38 = 1,251.38 : x
  2. Step 2: Convert to fraction form
    891.75/1,251.38 = 1,251.38/x
  3. Step 3: Cross multiply
    891.75x = 1,251.38 × 1,251.38
  4. Step 4: Simplify right side
    891.75x = 1,565,939.39
  5. Step 5: Solve for x
    x = 1,565,939.39/891.75
  6. Step 6: Final answer
    x = 1,756.03

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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.