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Finding the Third Proportional to 2,562 and 3,991

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Solution

The third proportional to 2,562 and 3,991 is: 6,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562 : 3,991 = 3,991 : x
  2. Step 2: Convert to fraction form
    2,562/3,991 = 3,991/x
  3. Step 3: Cross multiply
    2,562x = 3,991 × 3,991
  4. Step 4: Simplify right side
    2,562x = 15,928,081
  5. Step 5: Solve for x
    x = 15,928,081/2,562
  6. Step 6: Final answer
    x = 6,217.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.