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Finding the Third Proportional to 3,193.20 and 4,396.96

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Solution

The third proportional to 3,193.20 and 4,396.96 is: 6,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.20 : 4,396.96 = 4,396.96 : x
  2. Step 2: Convert to fraction form
    3,193.20/4,396.96 = 4,396.96/x
  3. Step 3: Cross multiply
    3,193.20x = 4,396.96 × 4,396.96
  4. Step 4: Simplify right side
    3,193.20x = 19,333,250.46
  5. Step 5: Solve for x
    x = 19,333,250.46/3,193.20
  6. Step 6: Final answer
    x = 6,054.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.