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Finding the Third Proportional to 39,107.25 and 82,518.75

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Solution

The third proportional to 39,107.25 and 82,518.75 is: 174,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,107.25 : 82,518.75 = 82,518.75 : x
  2. Step 2: Convert to fraction form
    39,107.25/82,518.75 = 82,518.75/x
  3. Step 3: Cross multiply
    39,107.25x = 82,518.75 × 82,518.75
  4. Step 4: Simplify right side
    39,107.25x = 6,809,344,101.56
  5. Step 5: Solve for x
    x = 6,809,344,101.56/39,107.25
  6. Step 6: Final answer
    x = 174,119.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.