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Finding the Third Proportional to 1,553.55 and 3,288.73

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Solution

The third proportional to 1,553.55 and 3,288.73 is: 6,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.55 : 3,288.73 = 3,288.73 : x
  2. Step 2: Convert to fraction form
    1,553.55/3,288.73 = 3,288.73/x
  3. Step 3: Cross multiply
    1,553.55x = 3,288.73 × 3,288.73
  4. Step 4: Simplify right side
    1,553.55x = 10,815,722.40
  5. Step 5: Solve for x
    x = 10,815,722.40/1,553.55
  6. Step 6: Final answer
    x = 6,961.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.