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Finding the Third Proportional to 8,411.34 and 11,136.23

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Solution

The third proportional to 8,411.34 and 11,136.23 is: 14,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.34 : 11,136.23 = 11,136.23 : x
  2. Step 2: Convert to fraction form
    8,411.34/11,136.23 = 11,136.23/x
  3. Step 3: Cross multiply
    8,411.34x = 11,136.23 × 11,136.23
  4. Step 4: Simplify right side
    8,411.34x = 124,015,716.05
  5. Step 5: Solve for x
    x = 124,015,716.05/8,411.34
  6. Step 6: Final answer
    x = 14,743.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.