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Finding the Third Proportional to 4,030 and 5,675

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Solution

The third proportional to 4,030 and 5,675 is: 7,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030 : 5,675 = 5,675 : x
  2. Step 2: Convert to fraction form
    4,030/5,675 = 5,675/x
  3. Step 3: Cross multiply
    4,030x = 5,675 × 5,675
  4. Step 4: Simplify right side
    4,030x = 32,205,625
  5. Step 5: Solve for x
    x = 32,205,625/4,030
  6. Step 6: Final answer
    x = 7,991.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.