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Finding the Third Proportional to 35,837.44 and 50,136.47

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Solution

The third proportional to 35,837.44 and 50,136.47 is: 70,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,837.44 : 50,136.47 = 50,136.47 : x
  2. Step 2: Convert to fraction form
    35,837.44/50,136.47 = 50,136.47/x
  3. Step 3: Cross multiply
    35,837.44x = 50,136.47 × 50,136.47
  4. Step 4: Simplify right side
    35,837.44x = 2,513,665,498.72
  5. Step 5: Solve for x
    x = 2,513,665,498.72/35,837.44
  6. Step 6: Final answer
    x = 70,140.77

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Why These Related Problems?

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