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Finding the Third Proportional to 3,205 and 7,702

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Solution

The third proportional to 3,205 and 7,702 is: 18,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205 : 7,702 = 7,702 : x
  2. Step 2: Convert to fraction form
    3,205/7,702 = 7,702/x
  3. Step 3: Cross multiply
    3,205x = 7,702 × 7,702
  4. Step 4: Simplify right side
    3,205x = 59,320,804
  5. Step 5: Solve for x
    x = 59,320,804/3,205
  6. Step 6: Final answer
    x = 18,508.83

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.