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Finding the Third Proportional to 2,202.19 and 3,572.86

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Solution

The third proportional to 2,202.19 and 3,572.86 is: 5,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.19 : 3,572.86 = 3,572.86 : x
  2. Step 2: Convert to fraction form
    2,202.19/3,572.86 = 3,572.86/x
  3. Step 3: Cross multiply
    2,202.19x = 3,572.86 × 3,572.86
  4. Step 4: Simplify right side
    2,202.19x = 12,765,324.11
  5. Step 5: Solve for x
    x = 12,765,324.11/2,202.19
  6. Step 6: Final answer
    x = 5,796.66

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.