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Finding the Third Proportional to 24,231.23 and 52,354.27

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Solution

The third proportional to 24,231.23 and 52,354.27 is: 113,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.23 : 52,354.27 = 52,354.27 : x
  2. Step 2: Convert to fraction form
    24,231.23/52,354.27 = 52,354.27/x
  3. Step 3: Cross multiply
    24,231.23x = 52,354.27 × 52,354.27
  4. Step 4: Simplify right side
    24,231.23x = 2,740,969,129.13
  5. Step 5: Solve for x
    x = 2,740,969,129.13/24,231.23
  6. Step 6: Final answer
    x = 113,117.19

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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.