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Finding the Third Proportional to 3,559.78 and 7,803.84

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Solution

The third proportional to 3,559.78 and 7,803.84 is: 17,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.78 : 7,803.84 = 7,803.84 : x
  2. Step 2: Convert to fraction form
    3,559.78/7,803.84 = 7,803.84/x
  3. Step 3: Cross multiply
    3,559.78x = 7,803.84 × 7,803.84
  4. Step 4: Simplify right side
    3,559.78x = 60,899,977.27
  5. Step 5: Solve for x
    x = 60,899,977.27/3,559.78
  6. Step 6: Final answer
    x = 17,107.79

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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.