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Finding the Third Proportional to 39,867 and 54,166.50

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Solution

The third proportional to 39,867 and 54,166.50 is: 73,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,867 : 54,166.50 = 54,166.50 : x
  2. Step 2: Convert to fraction form
    39,867/54,166.50 = 54,166.50/x
  3. Step 3: Cross multiply
    39,867x = 54,166.50 × 54,166.50
  4. Step 4: Simplify right side
    39,867x = 2,934,009,722.25
  5. Step 5: Solve for x
    x = 2,934,009,722.25/39,867
  6. Step 6: Final answer
    x = 73,594.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.