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Finding the Third Proportional to 4,699.27 and 7,286.20

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Solution

The third proportional to 4,699.27 and 7,286.20 is: 11,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.27 : 7,286.20 = 7,286.20 : x
  2. Step 2: Convert to fraction form
    4,699.27/7,286.20 = 7,286.20/x
  3. Step 3: Cross multiply
    4,699.27x = 7,286.20 × 7,286.20
  4. Step 4: Simplify right side
    4,699.27x = 53,088,755.98
  5. Step 5: Solve for x
    x = 53,088,755.98/4,699.27
  6. Step 6: Final answer
    x = 11,297.25

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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.