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Finding the Third Proportional to 3,883 and 6,251

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Solution

The third proportional to 3,883 and 6,251 is: 10,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883 : 6,251 = 6,251 : x
  2. Step 2: Convert to fraction form
    3,883/6,251 = 6,251/x
  3. Step 3: Cross multiply
    3,883x = 6,251 × 6,251
  4. Step 4: Simplify right side
    3,883x = 39,075,001
  5. Step 5: Solve for x
    x = 39,075,001/3,883
  6. Step 6: Final answer
    x = 10,063.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.