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Finding the Third Proportional to 1,251 and 1,901

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Solution

The third proportional to 1,251 and 1,901 is: 2,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251 : 1,901 = 1,901 : x
  2. Step 2: Convert to fraction form
    1,251/1,901 = 1,901/x
  3. Step 3: Cross multiply
    1,251x = 1,901 × 1,901
  4. Step 4: Simplify right side
    1,251x = 3,613,801
  5. Step 5: Solve for x
    x = 3,613,801/1,251
  6. Step 6: Final answer
    x = 2,888.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.