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Finding the Third Proportional to 3,381 and 5,530.50

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Solution

The third proportional to 3,381 and 5,530.50 is: 9,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381 : 5,530.50 = 5,530.50 : x
  2. Step 2: Convert to fraction form
    3,381/5,530.50 = 5,530.50/x
  3. Step 3: Cross multiply
    3,381x = 5,530.50 × 5,530.50
  4. Step 4: Simplify right side
    3,381x = 30,586,430.25
  5. Step 5: Solve for x
    x = 30,586,430.25/3,381
  6. Step 6: Final answer
    x = 9,046.56

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.