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Finding the Third Proportional to 3,669.05 and 8,041.78

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Solution

The third proportional to 3,669.05 and 8,041.78 is: 17,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.05 : 8,041.78 = 8,041.78 : x
  2. Step 2: Convert to fraction form
    3,669.05/8,041.78 = 8,041.78/x
  3. Step 3: Cross multiply
    3,669.05x = 8,041.78 × 8,041.78
  4. Step 4: Simplify right side
    3,669.05x = 64,670,245.67
  5. Step 5: Solve for x
    x = 64,670,245.67/3,669.05
  6. Step 6: Final answer
    x = 17,625.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.