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Finding the Third Proportional to 24,231.66 and 52,354.97

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Solution

The third proportional to 24,231.66 and 52,354.97 is: 113,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.66 : 52,354.97 = 52,354.97 : x
  2. Step 2: Convert to fraction form
    24,231.66/52,354.97 = 52,354.97/x
  3. Step 3: Cross multiply
    24,231.66x = 52,354.97 × 52,354.97
  4. Step 4: Simplify right side
    24,231.66x = 2,741,042,752.81
  5. Step 5: Solve for x
    x = 2,741,042,752.81/24,231.66
  6. Step 6: Final answer
    x = 113,118.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.