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Finding the Third Proportional to 1,961 and 4,177

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Solution

The third proportional to 1,961 and 4,177 is: 8,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961 : 4,177 = 4,177 : x
  2. Step 2: Convert to fraction form
    1,961/4,177 = 4,177/x
  3. Step 3: Cross multiply
    1,961x = 4,177 × 4,177
  4. Step 4: Simplify right side
    1,961x = 17,447,329
  5. Step 5: Solve for x
    x = 17,447,329/1,961
  6. Step 6: Final answer
    x = 8,897.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.