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Finding the Third Proportional to 2,138.25 and 4,906.88

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Solution

The third proportional to 2,138.25 and 4,906.88 is: 11,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.25 : 4,906.88 = 4,906.88 : x
  2. Step 2: Convert to fraction form
    2,138.25/4,906.88 = 4,906.88/x
  3. Step 3: Cross multiply
    2,138.25x = 4,906.88 × 4,906.88
  4. Step 4: Simplify right side
    2,138.25x = 24,077,422.27
  5. Step 5: Solve for x
    x = 24,077,422.27/2,138.25
  6. Step 6: Final answer
    x = 11,260.34

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.