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Finding the Third Proportional to 35,533 and 76,444

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Solution

The third proportional to 35,533 and 76,444 is: 164,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,533 : 76,444 = 76,444 : x
  2. Step 2: Convert to fraction form
    35,533/76,444 = 76,444/x
  3. Step 3: Cross multiply
    35,533x = 76,444 × 76,444
  4. Step 4: Simplify right side
    35,533x = 5,843,685,136
  5. Step 5: Solve for x
    x = 5,843,685,136/35,533
  6. Step 6: Final answer
    x = 164,457.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.