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Finding the Third Proportional to 3,422.25 and 7,356.66

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Solution

The third proportional to 3,422.25 and 7,356.66 is: 15,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.25 : 7,356.66 = 7,356.66 : x
  2. Step 2: Convert to fraction form
    3,422.25/7,356.66 = 7,356.66/x
  3. Step 3: Cross multiply
    3,422.25x = 7,356.66 × 7,356.66
  4. Step 4: Simplify right side
    3,422.25x = 54,120,391.18
  5. Step 5: Solve for x
    x = 54,120,391.18/3,422.25
  6. Step 6: Final answer
    x = 15,814.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.