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Finding the Third Proportional to 3,163.64 and 4,719.30

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Solution

The third proportional to 3,163.64 and 4,719.30 is: 7,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.64 : 4,719.30 = 4,719.30 : x
  2. Step 2: Convert to fraction form
    3,163.64/4,719.30 = 4,719.30/x
  3. Step 3: Cross multiply
    3,163.64x = 4,719.30 × 4,719.30
  4. Step 4: Simplify right side
    3,163.64x = 22,271,836.73
  5. Step 5: Solve for x
    x = 22,271,836.73/3,163.64
  6. Step 6: Final answer
    x = 7,039.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.