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Finding the Third Proportional to 1,972 and 4,171

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Solution

The third proportional to 1,972 and 4,171 is: 8,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972 : 4,171 = 4,171 : x
  2. Step 2: Convert to fraction form
    1,972/4,171 = 4,171/x
  3. Step 3: Cross multiply
    1,972x = 4,171 × 4,171
  4. Step 4: Simplify right side
    1,972x = 17,397,241
  5. Step 5: Solve for x
    x = 17,397,241/1,972
  6. Step 6: Final answer
    x = 8,822.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.