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Finding the Third Proportional to 33,361 and 48,724

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Solution

The third proportional to 33,361 and 48,724 is: 71,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,361 : 48,724 = 48,724 : x
  2. Step 2: Convert to fraction form
    33,361/48,724 = 48,724/x
  3. Step 3: Cross multiply
    33,361x = 48,724 × 48,724
  4. Step 4: Simplify right side
    33,361x = 2,374,028,176
  5. Step 5: Solve for x
    x = 2,374,028,176/33,361
  6. Step 6: Final answer
    x = 71,161.78

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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.