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Finding the Third Proportional to 34,020.81 and 73,883.75

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Solution

The third proportional to 34,020.81 and 73,883.75 is: 160,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020.81 : 73,883.75 = 73,883.75 : x
  2. Step 2: Convert to fraction form
    34,020.81/73,883.75 = 73,883.75/x
  3. Step 3: Cross multiply
    34,020.81x = 73,883.75 × 73,883.75
  4. Step 4: Simplify right side
    34,020.81x = 5,458,808,514.06
  5. Step 5: Solve for x
    x = 5,458,808,514.06/34,020.81
  6. Step 6: Final answer
    x = 160,454.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.