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Finding the Third Proportional to 39,037 and 83,993

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Solution

The third proportional to 39,037 and 83,993 is: 180,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,037 : 83,993 = 83,993 : x
  2. Step 2: Convert to fraction form
    39,037/83,993 = 83,993/x
  3. Step 3: Cross multiply
    39,037x = 83,993 × 83,993
  4. Step 4: Simplify right side
    39,037x = 7,054,824,049
  5. Step 5: Solve for x
    x = 7,054,824,049/39,037
  6. Step 6: Final answer
    x = 180,721.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.