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Finding the Third Proportional to 2,284.03 and 5,158.79

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Solution

The third proportional to 2,284.03 and 5,158.79 is: 11,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.03 : 5,158.79 = 5,158.79 : x
  2. Step 2: Convert to fraction form
    2,284.03/5,158.79 = 5,158.79/x
  3. Step 3: Cross multiply
    2,284.03x = 5,158.79 × 5,158.79
  4. Step 4: Simplify right side
    2,284.03x = 26,613,144.89
  5. Step 5: Solve for x
    x = 26,613,144.89/2,284.03
  6. Step 6: Final answer
    x = 11,651.83

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.