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Finding the Third Proportional to 39,027 and 92,023.50

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Solution

The third proportional to 39,027 and 92,023.50 is: 216,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,027 : 92,023.50 = 92,023.50 : x
  2. Step 2: Convert to fraction form
    39,027/92,023.50 = 92,023.50/x
  3. Step 3: Cross multiply
    39,027x = 92,023.50 × 92,023.50
  4. Step 4: Simplify right side
    39,027x = 8,468,324,552.25
  5. Step 5: Solve for x
    x = 8,468,324,552.25/39,027
  6. Step 6: Final answer
    x = 216,986.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.