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Finding the Third Proportional to 37,642 and 81,847

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Solution

The third proportional to 37,642 and 81,847 is: 177,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642 : 81,847 = 81,847 : x
  2. Step 2: Convert to fraction form
    37,642/81,847 = 81,847/x
  3. Step 3: Cross multiply
    37,642x = 81,847 × 81,847
  4. Step 4: Simplify right side
    37,642x = 6,698,931,409
  5. Step 5: Solve for x
    x = 6,698,931,409/37,642
  6. Step 6: Final answer
    x = 177,964.28

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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.