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Finding the Third Proportional to 39,296 and 60,895

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Solution

The third proportional to 39,296 and 60,895 is: 94,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296 : 60,895 = 60,895 : x
  2. Step 2: Convert to fraction form
    39,296/60,895 = 60,895/x
  3. Step 3: Cross multiply
    39,296x = 60,895 × 60,895
  4. Step 4: Simplify right side
    39,296x = 3,708,201,025
  5. Step 5: Solve for x
    x = 3,708,201,025/39,296
  6. Step 6: Final answer
    x = 94,365.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.