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Finding the Third Proportional to 1,069.03 and 1,338.05

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Solution

The third proportional to 1,069.03 and 1,338.05 is: 1,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.03 : 1,338.05 = 1,338.05 : x
  2. Step 2: Convert to fraction form
    1,069.03/1,338.05 = 1,338.05/x
  3. Step 3: Cross multiply
    1,069.03x = 1,338.05 × 1,338.05
  4. Step 4: Simplify right side
    1,069.03x = 1,790,369.44
  5. Step 5: Solve for x
    x = 1,790,369.44/1,069.03
  6. Step 6: Final answer
    x = 1,674.76

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.