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Finding the Third Proportional to 34,516.13 and 36,789.19

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Solution

The third proportional to 34,516.13 and 36,789.19 is: 39,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516.13 : 36,789.19 = 36,789.19 : x
  2. Step 2: Convert to fraction form
    34,516.13/36,789.19 = 36,789.19/x
  3. Step 3: Cross multiply
    34,516.13x = 36,789.19 × 36,789.19
  4. Step 4: Simplify right side
    34,516.13x = 1,353,444,316.91
  5. Step 5: Solve for x
    x = 1,353,444,316.91/34,516.13
  6. Step 6: Final answer
    x = 39,211.94

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.