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Finding the Third Proportional to 3,396.94 and 4,564.69

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Solution

The third proportional to 3,396.94 and 4,564.69 is: 6,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.94 : 4,564.69 = 4,564.69 : x
  2. Step 2: Convert to fraction form
    3,396.94/4,564.69 = 4,564.69/x
  3. Step 3: Cross multiply
    3,396.94x = 4,564.69 × 4,564.69
  4. Step 4: Simplify right side
    3,396.94x = 20,836,371.97
  5. Step 5: Solve for x
    x = 20,836,371.97/3,396.94
  6. Step 6: Final answer
    x = 6,133.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.