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Finding the Third Proportional to 34,007.96 and 73,840.08

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Solution

The third proportional to 34,007.96 and 73,840.08 is: 160,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,007.96 : 73,840.08 = 73,840.08 : x
  2. Step 2: Convert to fraction form
    34,007.96/73,840.08 = 73,840.08/x
  3. Step 3: Cross multiply
    34,007.96x = 73,840.08 × 73,840.08
  4. Step 4: Simplify right side
    34,007.96x = 5,452,357,786.49
  5. Step 5: Solve for x
    x = 5,452,357,786.49/34,007.96
  6. Step 6: Final answer
    x = 160,325.94

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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.