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Finding the Third Proportional to 3,220 and 7,802

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Solution

The third proportional to 3,220 and 7,802 is: 18,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220 : 7,802 = 7,802 : x
  2. Step 2: Convert to fraction form
    3,220/7,802 = 7,802/x
  3. Step 3: Cross multiply
    3,220x = 7,802 × 7,802
  4. Step 4: Simplify right side
    3,220x = 60,871,204
  5. Step 5: Solve for x
    x = 60,871,204/3,220
  6. Step 6: Final answer
    x = 18,904.10

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.