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Finding the Third Proportional to 37,628 and 80,444

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Solution

The third proportional to 37,628 and 80,444 is: 171,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,628 : 80,444 = 80,444 : x
  2. Step 2: Convert to fraction form
    37,628/80,444 = 80,444/x
  3. Step 3: Cross multiply
    37,628x = 80,444 × 80,444
  4. Step 4: Simplify right side
    37,628x = 6,471,237,136
  5. Step 5: Solve for x
    x = 6,471,237,136/37,628
  6. Step 6: Final answer
    x = 171,979.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.