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Finding the Third Proportional to 2,202.19 and 5,323.22

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Solution

The third proportional to 2,202.19 and 5,323.22 is: 12,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.19 : 5,323.22 = 5,323.22 : x
  2. Step 2: Convert to fraction form
    2,202.19/5,323.22 = 5,323.22/x
  3. Step 3: Cross multiply
    2,202.19x = 5,323.22 × 5,323.22
  4. Step 4: Simplify right side
    2,202.19x = 28,336,657.86
  5. Step 5: Solve for x
    x = 28,336,657.86/2,202.19
  6. Step 6: Final answer
    x = 12,867.50

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.