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Finding the Third Proportional to 3,880.41 and 7,750.69

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Solution

The third proportional to 3,880.41 and 7,750.69 is: 15,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.41 : 7,750.69 = 7,750.69 : x
  2. Step 2: Convert to fraction form
    3,880.41/7,750.69 = 7,750.69/x
  3. Step 3: Cross multiply
    3,880.41x = 7,750.69 × 7,750.69
  4. Step 4: Simplify right side
    3,880.41x = 60,073,156.72
  5. Step 5: Solve for x
    x = 60,073,156.72/3,880.41
  6. Step 6: Final answer
    x = 15,481.15

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.