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Finding the Third Proportional to 5,760 and 6,611

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Solution

The third proportional to 5,760 and 6,611 is: 7,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 6,611 = 6,611 : x
  2. Step 2: Convert to fraction form
    5,760/6,611 = 6,611/x
  3. Step 3: Cross multiply
    5,760x = 6,611 × 6,611
  4. Step 4: Simplify right side
    5,760x = 43,705,321
  5. Step 5: Solve for x
    x = 43,705,321/5,760
  6. Step 6: Final answer
    x = 7,587.73

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.