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Finding the Third Proportional to 3,851.30 and 5,940.21

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Solution

The third proportional to 3,851.30 and 5,940.21 is: 9,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.30 : 5,940.21 = 5,940.21 : x
  2. Step 2: Convert to fraction form
    3,851.30/5,940.21 = 5,940.21/x
  3. Step 3: Cross multiply
    3,851.30x = 5,940.21 × 5,940.21
  4. Step 4: Simplify right side
    3,851.30x = 35,286,105.98
  5. Step 5: Solve for x
    x = 35,286,105.98/3,851.30
  6. Step 6: Final answer
    x = 9,162.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.