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Finding the Third Proportional to 2,297.11 and 4,958.72

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Solution

The third proportional to 2,297.11 and 4,958.72 is: 10,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.11 : 4,958.72 = 4,958.72 : x
  2. Step 2: Convert to fraction form
    2,297.11/4,958.72 = 4,958.72/x
  3. Step 3: Cross multiply
    2,297.11x = 4,958.72 × 4,958.72
  4. Step 4: Simplify right side
    2,297.11x = 24,588,891.64
  5. Step 5: Solve for x
    x = 24,588,891.64/2,297.11
  6. Step 6: Final answer
    x = 10,704.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.