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Finding the Third Proportional to 11,410.56 and 18,227.85

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Solution

The third proportional to 11,410.56 and 18,227.85 is: 29,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.56 : 18,227.85 = 18,227.85 : x
  2. Step 2: Convert to fraction form
    11,410.56/18,227.85 = 18,227.85/x
  3. Step 3: Cross multiply
    11,410.56x = 18,227.85 × 18,227.85
  4. Step 4: Simplify right side
    11,410.56x = 332,254,430.18
  5. Step 5: Solve for x
    x = 332,254,430.18/11,410.56
  6. Step 6: Final answer
    x = 29,118.16

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.