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Finding the Third Proportional to 37,991.75 and 82,423

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Solution

The third proportional to 37,991.75 and 82,423 is: 178,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,991.75 : 82,423 = 82,423 : x
  2. Step 2: Convert to fraction form
    37,991.75/82,423 = 82,423/x
  3. Step 3: Cross multiply
    37,991.75x = 82,423 × 82,423
  4. Step 4: Simplify right side
    37,991.75x = 6,793,550,929
  5. Step 5: Solve for x
    x = 6,793,550,929/37,991.75
  6. Step 6: Final answer
    x = 178,816.48

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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.