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Finding the Third Proportional to 7,338.94 and 11,372.91

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Solution

The third proportional to 7,338.94 and 11,372.91 is: 17,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.94 : 11,372.91 = 11,372.91 : x
  2. Step 2: Convert to fraction form
    7,338.94/11,372.91 = 11,372.91/x
  3. Step 3: Cross multiply
    7,338.94x = 11,372.91 × 11,372.91
  4. Step 4: Simplify right side
    7,338.94x = 129,342,996.57
  5. Step 5: Solve for x
    x = 129,342,996.57/7,338.94
  6. Step 6: Final answer
    x = 17,624.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.