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Finding the Third Proportional to 22,227 and 32,462

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Solution

The third proportional to 22,227 and 32,462 is: 47,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,227 : 32,462 = 32,462 : x
  2. Step 2: Convert to fraction form
    22,227/32,462 = 32,462/x
  3. Step 3: Cross multiply
    22,227x = 32,462 × 32,462
  4. Step 4: Simplify right side
    22,227x = 1,053,781,444
  5. Step 5: Solve for x
    x = 1,053,781,444/22,227
  6. Step 6: Final answer
    x = 47,409.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.