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Finding the Third Proportional to 39,622 and 81,065.75

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Solution

The third proportional to 39,622 and 81,065.75 is: 165,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,622 : 81,065.75 = 81,065.75 : x
  2. Step 2: Convert to fraction form
    39,622/81,065.75 = 81,065.75/x
  3. Step 3: Cross multiply
    39,622x = 81,065.75 × 81,065.75
  4. Step 4: Simplify right side
    39,622x = 6,571,655,823.06
  5. Step 5: Solve for x
    x = 6,571,655,823.06/39,622
  6. Step 6: Final answer
    x = 165,858.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.