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Finding the Third Proportional to 33,183 and 71,647.88

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Solution

The third proportional to 33,183 and 71,647.88 is: 154,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,183 : 71,647.88 = 71,647.88 : x
  2. Step 2: Convert to fraction form
    33,183/71,647.88 = 71,647.88/x
  3. Step 3: Cross multiply
    33,183x = 71,647.88 × 71,647.88
  4. Step 4: Simplify right side
    33,183x = 5,133,417,992.02
  5. Step 5: Solve for x
    x = 5,133,417,992.02/33,183
  6. Step 6: Final answer
    x = 154,700.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.