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Finding the Third Proportional to 37,644 and 81,772

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Solution

The third proportional to 37,644 and 81,772 is: 177,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644 : 81,772 = 81,772 : x
  2. Step 2: Convert to fraction form
    37,644/81,772 = 81,772/x
  3. Step 3: Cross multiply
    37,644x = 81,772 × 81,772
  4. Step 4: Simplify right side
    37,644x = 6,686,659,984
  5. Step 5: Solve for x
    x = 6,686,659,984/37,644
  6. Step 6: Final answer
    x = 177,628.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.