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Finding the Third Proportional to 3,760,639.50 and 5,729,115

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Solution

The third proportional to 3,760,639.50 and 5,729,115 is: 8,727,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760,639.50 : 5,729,115 = 5,729,115 : x
  2. Step 2: Convert to fraction form
    3,760,639.50/5,729,115 = 5,729,115/x
  3. Step 3: Cross multiply
    3,760,639.50x = 5,729,115 × 5,729,115
  4. Step 4: Simplify right side
    3,760,639.50x = 32,822,758,683,225
  5. Step 5: Solve for x
    x = 32,822,758,683,225/3,760,639.50
  6. Step 6: Final answer
    x = 8,727,972.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.