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Finding the Third Proportional to 23,381.16 and 51,136.31

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Solution

The third proportional to 23,381.16 and 51,136.31 is: 111,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.16 : 51,136.31 = 51,136.31 : x
  2. Step 2: Convert to fraction form
    23,381.16/51,136.31 = 51,136.31/x
  3. Step 3: Cross multiply
    23,381.16x = 51,136.31 × 51,136.31
  4. Step 4: Simplify right side
    23,381.16x = 2,614,922,456.10
  5. Step 5: Solve for x
    x = 2,614,922,456.10/23,381.16
  6. Step 6: Final answer
    x = 111,838.89

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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.