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Finding the Third Proportional to 22,230 and 33,657

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Solution

The third proportional to 22,230 and 33,657 is: 50,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230 : 33,657 = 33,657 : x
  2. Step 2: Convert to fraction form
    22,230/33,657 = 33,657/x
  3. Step 3: Cross multiply
    22,230x = 33,657 × 33,657
  4. Step 4: Simplify right side
    22,230x = 1,132,793,649
  5. Step 5: Solve for x
    x = 1,132,793,649/22,230
  6. Step 6: Final answer
    x = 50,957.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.