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Finding the Third Proportional to 1,987 and 4,151

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Solution

The third proportional to 1,987 and 4,151 is: 8,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987 : 4,151 = 4,151 : x
  2. Step 2: Convert to fraction form
    1,987/4,151 = 4,151/x
  3. Step 3: Cross multiply
    1,987x = 4,151 × 4,151
  4. Step 4: Simplify right side
    1,987x = 17,230,801
  5. Step 5: Solve for x
    x = 17,230,801/1,987
  6. Step 6: Final answer
    x = 8,671.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.