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Finding the Third Proportional to 2,238.22 and 4,743.23

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Solution

The third proportional to 2,238.22 and 4,743.23 is: 10,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.22 : 4,743.23 = 4,743.23 : x
  2. Step 2: Convert to fraction form
    2,238.22/4,743.23 = 4,743.23/x
  3. Step 3: Cross multiply
    2,238.22x = 4,743.23 × 4,743.23
  4. Step 4: Simplify right side
    2,238.22x = 22,498,272.34
  5. Step 5: Solve for x
    x = 22,498,272.34/2,238.22
  6. Step 6: Final answer
    x = 10,051.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.