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Finding the Third Proportional to 34,651.69 and 74,836.69

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Solution

The third proportional to 34,651.69 and 74,836.69 is: 161,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.69 : 74,836.69 = 74,836.69 : x
  2. Step 2: Convert to fraction form
    34,651.69/74,836.69 = 74,836.69/x
  3. Step 3: Cross multiply
    34,651.69x = 74,836.69 × 74,836.69
  4. Step 4: Simplify right side
    34,651.69x = 5,600,529,795.97
  5. Step 5: Solve for x
    x = 5,600,529,795.97/34,651.69
  6. Step 6: Final answer
    x = 161,623.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.