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Finding the Third Proportional to 3,040 and 3,991

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Solution

The third proportional to 3,040 and 3,991 is: 5,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040 : 3,991 = 3,991 : x
  2. Step 2: Convert to fraction form
    3,040/3,991 = 3,991/x
  3. Step 3: Cross multiply
    3,040x = 3,991 × 3,991
  4. Step 4: Simplify right side
    3,040x = 15,928,081
  5. Step 5: Solve for x
    x = 15,928,081/3,040
  6. Step 6: Final answer
    x = 5,239.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.