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Finding the Third Proportional to 7,297.59 and 11,286.84

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Solution

The third proportional to 7,297.59 and 11,286.84 is: 17,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.59 : 11,286.84 = 11,286.84 : x
  2. Step 2: Convert to fraction form
    7,297.59/11,286.84 = 11,286.84/x
  3. Step 3: Cross multiply
    7,297.59x = 11,286.84 × 11,286.84
  4. Step 4: Simplify right side
    7,297.59x = 127,392,841.84
  5. Step 5: Solve for x
    x = 127,392,841.84/7,297.59
  6. Step 6: Final answer
    x = 17,456.83

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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.