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Finding the Third Proportional to 1,851 and 3,961

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Solution

The third proportional to 1,851 and 3,961 is: 8,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851 : 3,961 = 3,961 : x
  2. Step 2: Convert to fraction form
    1,851/3,961 = 3,961/x
  3. Step 3: Cross multiply
    1,851x = 3,961 × 3,961
  4. Step 4: Simplify right side
    1,851x = 15,689,521
  5. Step 5: Solve for x
    x = 15,689,521/1,851
  6. Step 6: Final answer
    x = 8,476.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.