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Finding the Third Proportional to 39,883 and 58,093

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Solution

The third proportional to 39,883 and 58,093 is: 84,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,883 : 58,093 = 58,093 : x
  2. Step 2: Convert to fraction form
    39,883/58,093 = 58,093/x
  3. Step 3: Cross multiply
    39,883x = 58,093 × 58,093
  4. Step 4: Simplify right side
    39,883x = 3,374,796,649
  5. Step 5: Solve for x
    x = 3,374,796,649/39,883
  6. Step 6: Final answer
    x = 84,617.42

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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.