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Finding the Third Proportional to 4,136.06 and 5,934.09

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Solution

The third proportional to 4,136.06 and 5,934.09 is: 8,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.06 : 5,934.09 = 5,934.09 : x
  2. Step 2: Convert to fraction form
    4,136.06/5,934.09 = 5,934.09/x
  3. Step 3: Cross multiply
    4,136.06x = 5,934.09 × 5,934.09
  4. Step 4: Simplify right side
    4,136.06x = 35,213,468.63
  5. Step 5: Solve for x
    x = 35,213,468.63/4,136.06
  6. Step 6: Final answer
    x = 8,513.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.