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Finding the Third Proportional to 33,296 and 71,331

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Solution

The third proportional to 33,296 and 71,331 is: 152,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,296 : 71,331 = 71,331 : x
  2. Step 2: Convert to fraction form
    33,296/71,331 = 71,331/x
  3. Step 3: Cross multiply
    33,296x = 71,331 × 71,331
  4. Step 4: Simplify right side
    33,296x = 5,088,111,561
  5. Step 5: Solve for x
    x = 5,088,111,561/33,296
  6. Step 6: Final answer
    x = 152,814.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.