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Finding the Third Proportional to 37,986.75 and 82,662.75

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Solution

The third proportional to 37,986.75 and 82,662.75 is: 179,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,986.75 : 82,662.75 = 82,662.75 : x
  2. Step 2: Convert to fraction form
    37,986.75/82,662.75 = 82,662.75/x
  3. Step 3: Cross multiply
    37,986.75x = 82,662.75 × 82,662.75
  4. Step 4: Simplify right side
    37,986.75x = 6,833,130,237.56
  5. Step 5: Solve for x
    x = 6,833,130,237.56/37,986.75
  6. Step 6: Final answer
    x = 179,881.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.