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Finding the Third Proportional to 2,203.03 and 3,245.91

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Solution

The third proportional to 2,203.03 and 3,245.91 is: 4,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.03 : 3,245.91 = 3,245.91 : x
  2. Step 2: Convert to fraction form
    2,203.03/3,245.91 = 3,245.91/x
  3. Step 3: Cross multiply
    2,203.03x = 3,245.91 × 3,245.91
  4. Step 4: Simplify right side
    2,203.03x = 10,535,907.38
  5. Step 5: Solve for x
    x = 10,535,907.38/2,203.03
  6. Step 6: Final answer
    x = 4,782.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.