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Finding the Third Proportional to 33,251 and 52,645

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Solution

The third proportional to 33,251 and 52,645 is: 83,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,251 : 52,645 = 52,645 : x
  2. Step 2: Convert to fraction form
    33,251/52,645 = 52,645/x
  3. Step 3: Cross multiply
    33,251x = 52,645 × 52,645
  4. Step 4: Simplify right side
    33,251x = 2,771,496,025
  5. Step 5: Solve for x
    x = 2,771,496,025/33,251
  6. Step 6: Final answer
    x = 83,350.76

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.