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Finding the Third Proportional to 961 and 1,871

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Solution

The third proportional to 961 and 1,871 is: 3,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    961 : 1,871 = 1,871 : x
  2. Step 2: Convert to fraction form
    961/1,871 = 1,871/x
  3. Step 3: Cross multiply
    961x = 1,871 × 1,871
  4. Step 4: Simplify right side
    961x = 3,500,641
  5. Step 5: Solve for x
    x = 3,500,641/961
  6. Step 6: Final answer
    x = 3,642.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.