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Finding the Third Proportional to 536.44 and 1,087.69

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Solution

The third proportional to 536.44 and 1,087.69 is: 2,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 1,087.69 = 1,087.69 : x
  2. Step 2: Convert to fraction form
    536.44/1,087.69 = 1,087.69/x
  3. Step 3: Cross multiply
    536.44x = 1,087.69 × 1,087.69
  4. Step 4: Simplify right side
    536.44x = 1,183,064.10
  5. Step 5: Solve for x
    x = 1,183,064.10/536.44
  6. Step 6: Final answer
    x = 2,205.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.