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Finding the Third Proportional to 39,876 and 58,084

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Solution

The third proportional to 39,876 and 58,084 is: 84,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,876 : 58,084 = 58,084 : x
  2. Step 2: Convert to fraction form
    39,876/58,084 = 58,084/x
  3. Step 3: Cross multiply
    39,876x = 58,084 × 58,084
  4. Step 4: Simplify right side
    39,876x = 3,373,751,056
  5. Step 5: Solve for x
    x = 3,373,751,056/39,876
  6. Step 6: Final answer
    x = 84,606.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.