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Finding the Third Proportional to 5,057.54 and 11,118.83

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Solution

The third proportional to 5,057.54 and 11,118.83 is: 24,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.54 : 11,118.83 = 11,118.83 : x
  2. Step 2: Convert to fraction form
    5,057.54/11,118.83 = 11,118.83/x
  3. Step 3: Cross multiply
    5,057.54x = 11,118.83 × 11,118.83
  4. Step 4: Simplify right side
    5,057.54x = 123,628,425.74
  5. Step 5: Solve for x
    x = 123,628,425.74/5,057.54
  6. Step 6: Final answer
    x = 24,444.36

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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.