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Finding the Third Proportional to 11,349.81 and 23,997.20

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Solution

The third proportional to 11,349.81 and 23,997.20 is: 50,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.81 : 23,997.20 = 23,997.20 : x
  2. Step 2: Convert to fraction form
    11,349.81/23,997.20 = 23,997.20/x
  3. Step 3: Cross multiply
    11,349.81x = 23,997.20 × 23,997.20
  4. Step 4: Simplify right side
    11,349.81x = 575,865,570.34
  5. Step 5: Solve for x
    x = 575,865,570.34/11,349.81
  6. Step 6: Final answer
    x = 50,737.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.