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Finding the Third Proportional to 736.03 and 1,610.44

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Solution

The third proportional to 736.03 and 1,610.44 is: 3,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.03 : 1,610.44 = 1,610.44 : x
  2. Step 2: Convert to fraction form
    736.03/1,610.44 = 1,610.44/x
  3. Step 3: Cross multiply
    736.03x = 1,610.44 × 1,610.44
  4. Step 4: Simplify right side
    736.03x = 2,593,508.94
  5. Step 5: Solve for x
    x = 2,593,508.94/736.03
  6. Step 6: Final answer
    x = 3,523.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.