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Finding the Third Proportional to 11,818.13 and 24,226.88

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Solution

The third proportional to 11,818.13 and 24,226.88 is: 49,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.13 : 24,226.88 = 24,226.88 : x
  2. Step 2: Convert to fraction form
    11,818.13/24,226.88 = 24,226.88/x
  3. Step 3: Cross multiply
    11,818.13x = 24,226.88 × 24,226.88
  4. Step 4: Simplify right side
    11,818.13x = 586,941,472.27
  5. Step 5: Solve for x
    x = 586,941,472.27/11,818.13
  6. Step 6: Final answer
    x = 49,664.52

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.