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Finding the Third Proportional to 3,220 and 8,608

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Solution

The third proportional to 3,220 and 8,608 is: 23,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220 : 8,608 = 8,608 : x
  2. Step 2: Convert to fraction form
    3,220/8,608 = 8,608/x
  3. Step 3: Cross multiply
    3,220x = 8,608 × 8,608
  4. Step 4: Simplify right side
    3,220x = 74,097,664
  5. Step 5: Solve for x
    x = 74,097,664/3,220
  6. Step 6: Final answer
    x = 23,011.70

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Why These Related Problems?

These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.