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Finding the Third Proportional to 3,396.94 and 3,970.69

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Solution

The third proportional to 3,396.94 and 3,970.69 is: 4,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.94 : 3,970.69 = 3,970.69 : x
  2. Step 2: Convert to fraction form
    3,396.94/3,970.69 = 3,970.69/x
  3. Step 3: Cross multiply
    3,396.94x = 3,970.69 × 3,970.69
  4. Step 4: Simplify right side
    3,396.94x = 15,766,359.22
  5. Step 5: Solve for x
    x = 15,766,359.22/3,396.94
  6. Step 6: Final answer
    x = 4,641.35

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.