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Finding the Third Proportional to 1,069.03 and 2,259.09

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Solution

The third proportional to 1,069.03 and 2,259.09 is: 4,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.03 : 2,259.09 = 2,259.09 : x
  2. Step 2: Convert to fraction form
    1,069.03/2,259.09 = 2,259.09/x
  3. Step 3: Cross multiply
    1,069.03x = 2,259.09 × 2,259.09
  4. Step 4: Simplify right side
    1,069.03x = 5,103,504.57
  5. Step 5: Solve for x
    x = 5,103,504.57/1,069.03
  6. Step 6: Final answer
    x = 4,773.95

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.