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Finding the Third Proportional to 35,668 and 75,944

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Solution

The third proportional to 35,668 and 75,944 is: 161,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,668 : 75,944 = 75,944 : x
  2. Step 2: Convert to fraction form
    35,668/75,944 = 75,944/x
  3. Step 3: Cross multiply
    35,668x = 75,944 × 75,944
  4. Step 4: Simplify right side
    35,668x = 5,767,491,136
  5. Step 5: Solve for x
    x = 5,767,491,136/35,668
  6. Step 6: Final answer
    x = 161,699.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.