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Finding the Third Proportional to 39,648.75 and 92,517.38

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Solution

The third proportional to 39,648.75 and 92,517.38 is: 215,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648.75 : 92,517.38 = 92,517.38 : x
  2. Step 2: Convert to fraction form
    39,648.75/92,517.38 = 92,517.38/x
  3. Step 3: Cross multiply
    39,648.75x = 92,517.38 × 92,517.38
  4. Step 4: Simplify right side
    39,648.75x = 8,559,464,676.89
  5. Step 5: Solve for x
    x = 8,559,464,676.89/39,648.75
  6. Step 6: Final answer
    x = 215,882.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.