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Finding the Third Proportional to 33,217 and 55,362

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Solution

The third proportional to 33,217 and 55,362 is: 92,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,217 : 55,362 = 55,362 : x
  2. Step 2: Convert to fraction form
    33,217/55,362 = 55,362/x
  3. Step 3: Cross multiply
    33,217x = 55,362 × 55,362
  4. Step 4: Simplify right side
    33,217x = 3,064,951,044
  5. Step 5: Solve for x
    x = 3,064,951,044/33,217
  6. Step 6: Final answer
    x = 92,270.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.