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Finding the Third Proportional to 29,269.69 and 69,071.91

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Solution

The third proportional to 29,269.69 and 69,071.91 is: 162,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,269.69 : 69,071.91 = 69,071.91 : x
  2. Step 2: Convert to fraction form
    29,269.69/69,071.91 = 69,071.91/x
  3. Step 3: Cross multiply
    29,269.69x = 69,071.91 × 69,071.91
  4. Step 4: Simplify right side
    29,269.69x = 4,770,928,233.01
  5. Step 5: Solve for x
    x = 4,770,928,233.01/29,269.69
  6. Step 6: Final answer
    x = 162,998.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.