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Finding the Third Proportional to 33,499.83 and 51,316.03

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Solution

The third proportional to 33,499.83 and 51,316.03 is: 78,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,499.83 : 51,316.03 = 51,316.03 : x
  2. Step 2: Convert to fraction form
    33,499.83/51,316.03 = 51,316.03/x
  3. Step 3: Cross multiply
    33,499.83x = 51,316.03 × 51,316.03
  4. Step 4: Simplify right side
    33,499.83x = 2,633,335,063.25
  5. Step 5: Solve for x
    x = 2,633,335,063.25/33,499.83
  6. Step 6: Final answer
    x = 78,607.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.