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Finding the Third Proportional to 3,234 and 8,706.75

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Solution

The third proportional to 3,234 and 8,706.75 is: 23,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234 : 8,706.75 = 8,706.75 : x
  2. Step 2: Convert to fraction form
    3,234/8,706.75 = 8,706.75/x
  3. Step 3: Cross multiply
    3,234x = 8,706.75 × 8,706.75
  4. Step 4: Simplify right side
    3,234x = 75,807,495.56
  5. Step 5: Solve for x
    x = 75,807,495.56/3,234
  6. Step 6: Final answer
    x = 23,440.78

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.