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Finding the Third Proportional to 34,022.25 and 51,069.38

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Solution

The third proportional to 34,022.25 and 51,069.38 is: 76,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022.25 : 51,069.38 = 51,069.38 : x
  2. Step 2: Convert to fraction form
    34,022.25/51,069.38 = 51,069.38/x
  3. Step 3: Cross multiply
    34,022.25x = 51,069.38 × 51,069.38
  4. Step 4: Simplify right side
    34,022.25x = 2,608,081,062.89
  5. Step 5: Solve for x
    x = 2,608,081,062.89/34,022.25
  6. Step 6: Final answer
    x = 76,658.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.