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Finding the Third Proportional to 22,214.25 and 34,138.97

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Solution

The third proportional to 22,214.25 and 34,138.97 is: 52,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.25 : 34,138.97 = 34,138.97 : x
  2. Step 2: Convert to fraction form
    22,214.25/34,138.97 = 34,138.97/x
  3. Step 3: Cross multiply
    22,214.25x = 34,138.97 × 34,138.97
  4. Step 4: Simplify right side
    22,214.25x = 1,165,469,187.31
  5. Step 5: Solve for x
    x = 1,165,469,187.31/22,214.25
  6. Step 6: Final answer
    x = 52,464.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.