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Finding the Third Proportional to 3,409.50 and 6,027.38

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Solution

The third proportional to 3,409.50 and 6,027.38 is: 10,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.50 : 6,027.38 = 6,027.38 : x
  2. Step 2: Convert to fraction form
    3,409.50/6,027.38 = 6,027.38/x
  3. Step 3: Cross multiply
    3,409.50x = 6,027.38 × 6,027.38
  4. Step 4: Simplify right side
    3,409.50x = 36,329,249.39
  5. Step 5: Solve for x
    x = 36,329,249.39/3,409.50
  6. Step 6: Final answer
    x = 10,655.30

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.