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Finding the Third Proportional to 10,835.81 and 23,737.13

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Solution

The third proportional to 10,835.81 and 23,737.13 is: 51,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.81 : 23,737.13 = 23,737.13 : x
  2. Step 2: Convert to fraction form
    10,835.81/23,737.13 = 23,737.13/x
  3. Step 3: Cross multiply
    10,835.81x = 23,737.13 × 23,737.13
  4. Step 4: Simplify right side
    10,835.81x = 563,451,103.27
  5. Step 5: Solve for x
    x = 563,451,103.27/10,835.81
  6. Step 6: Final answer
    x = 51,998.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.