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Finding the Third Proportional to 22,512.94 and 48,517.31

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Solution

The third proportional to 22,512.94 and 48,517.31 is: 104,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512.94 : 48,517.31 = 48,517.31 : x
  2. Step 2: Convert to fraction form
    22,512.94/48,517.31 = 48,517.31/x
  3. Step 3: Cross multiply
    22,512.94x = 48,517.31 × 48,517.31
  4. Step 4: Simplify right side
    22,512.94x = 2,353,929,612.22
  5. Step 5: Solve for x
    x = 2,353,929,612.22/22,512.94
  6. Step 6: Final answer
    x = 104,558.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.