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Finding the Third Proportional to 39,083 and 60,493

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Solution

The third proportional to 39,083 and 60,493 is: 93,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,083 : 60,493 = 60,493 : x
  2. Step 2: Convert to fraction form
    39,083/60,493 = 60,493/x
  3. Step 3: Cross multiply
    39,083x = 60,493 × 60,493
  4. Step 4: Simplify right side
    39,083x = 3,659,403,049
  5. Step 5: Solve for x
    x = 3,659,403,049/39,083
  6. Step 6: Final answer
    x = 93,631.58

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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.