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Finding the Third Proportional to 22,232 and 34,400

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Solution

The third proportional to 22,232 and 34,400 is: 53,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232 : 34,400 = 34,400 : x
  2. Step 2: Convert to fraction form
    22,232/34,400 = 34,400/x
  3. Step 3: Cross multiply
    22,232x = 34,400 × 34,400
  4. Step 4: Simplify right side
    22,232x = 1,183,360,000
  5. Step 5: Solve for x
    x = 1,183,360,000/22,232
  6. Step 6: Final answer
    x = 53,227.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.