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Finding the Third Proportional to 7,274.25 and 11,046.38

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Solution

The third proportional to 7,274.25 and 11,046.38 is: 16,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.25 : 11,046.38 = 11,046.38 : x
  2. Step 2: Convert to fraction form
    7,274.25/11,046.38 = 11,046.38/x
  3. Step 3: Cross multiply
    7,274.25x = 11,046.38 × 11,046.38
  4. Step 4: Simplify right side
    7,274.25x = 122,022,400.64
  5. Step 5: Solve for x
    x = 122,022,400.64/7,274.25
  6. Step 6: Final answer
    x = 16,774.57

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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.