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Finding the Third Proportional to 16,912.34 and 36,706.71

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Solution

The third proportional to 16,912.34 and 36,706.71 is: 79,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912.34 : 36,706.71 = 36,706.71 : x
  2. Step 2: Convert to fraction form
    16,912.34/36,706.71 = 36,706.71/x
  3. Step 3: Cross multiply
    16,912.34x = 36,706.71 × 36,706.71
  4. Step 4: Simplify right side
    16,912.34x = 1,347,382,627.85
  5. Step 5: Solve for x
    x = 1,347,382,627.85/16,912.34
  6. Step 6: Final answer
    x = 79,668.63

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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.