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Finding the Third Proportional to 2,272.22 and 4,891.22

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Solution

The third proportional to 2,272.22 and 4,891.22 is: 10,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.22 : 4,891.22 = 4,891.22 : x
  2. Step 2: Convert to fraction form
    2,272.22/4,891.22 = 4,891.22/x
  3. Step 3: Cross multiply
    2,272.22x = 4,891.22 × 4,891.22
  4. Step 4: Simplify right side
    2,272.22x = 23,924,020.86
  5. Step 5: Solve for x
    x = 23,924,020.86/2,272.22
  6. Step 6: Final answer
    x = 10,528.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.