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Finding the Third Proportional to 2,498.11 and 5,499.06

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Solution

The third proportional to 2,498.11 and 5,499.06 is: 12,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.11 : 5,499.06 = 5,499.06 : x
  2. Step 2: Convert to fraction form
    2,498.11/5,499.06 = 5,499.06/x
  3. Step 3: Cross multiply
    2,498.11x = 5,499.06 × 5,499.06
  4. Step 4: Simplify right side
    2,498.11x = 30,239,677.64
  5. Step 5: Solve for x
    x = 30,239,677.64/2,498.11
  6. Step 6: Final answer
    x = 12,105.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.