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Finding the Third Proportional to 24,039.91 and 52,231.71

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Solution

The third proportional to 24,039.91 and 52,231.71 is: 113,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,039.91 : 52,231.71 = 52,231.71 : x
  2. Step 2: Convert to fraction form
    24,039.91/52,231.71 = 52,231.71/x
  3. Step 3: Cross multiply
    24,039.91x = 52,231.71 × 52,231.71
  4. Step 4: Simplify right side
    24,039.91x = 2,728,151,627.46
  5. Step 5: Solve for x
    x = 2,728,151,627.46/24,039.91
  6. Step 6: Final answer
    x = 113,484.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.