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Finding the Third Proportional to 3,851 and 6,121

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Solution

The third proportional to 3,851 and 6,121 is: 9,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851 : 6,121 = 6,121 : x
  2. Step 2: Convert to fraction form
    3,851/6,121 = 6,121/x
  3. Step 3: Cross multiply
    3,851x = 6,121 × 6,121
  4. Step 4: Simplify right side
    3,851x = 37,466,641
  5. Step 5: Solve for x
    x = 37,466,641/3,851
  6. Step 6: Final answer
    x = 9,729.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.