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Finding the Third Proportional to 35,844 and 50,136

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Solution

The third proportional to 35,844 and 50,136 is: 70,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,844 : 50,136 = 50,136 : x
  2. Step 2: Convert to fraction form
    35,844/50,136 = 50,136/x
  3. Step 3: Cross multiply
    35,844x = 50,136 × 50,136
  4. Step 4: Simplify right side
    35,844x = 2,513,618,496
  5. Step 5: Solve for x
    x = 2,513,618,496/35,844
  6. Step 6: Final answer
    x = 70,126.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.