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Finding the Third Proportional to 33,740.50 and 49,516.50

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Solution

The third proportional to 33,740.50 and 49,516.50 is: 72,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,740.50 : 49,516.50 = 49,516.50 : x
  2. Step 2: Convert to fraction form
    33,740.50/49,516.50 = 49,516.50/x
  3. Step 3: Cross multiply
    33,740.50x = 49,516.50 × 49,516.50
  4. Step 4: Simplify right side
    33,740.50x = 2,451,883,772.25
  5. Step 5: Solve for x
    x = 2,451,883,772.25/33,740.50
  6. Step 6: Final answer
    x = 72,668.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.