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Finding the Third Proportional to 33,666.75 and 51,199.13

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Solution

The third proportional to 33,666.75 and 51,199.13 is: 77,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666.75 : 51,199.13 = 51,199.13 : x
  2. Step 2: Convert to fraction form
    33,666.75/51,199.13 = 51,199.13/x
  3. Step 3: Cross multiply
    33,666.75x = 51,199.13 × 51,199.13
  4. Step 4: Simplify right side
    33,666.75x = 2,621,350,400.77
  5. Step 5: Solve for x
    x = 2,621,350,400.77/33,666.75
  6. Step 6: Final answer
    x = 77,861.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.