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Finding the Third Proportional to 39,198 and 58,886

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Solution

The third proportional to 39,198 and 58,886 is: 88,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,198 : 58,886 = 58,886 : x
  2. Step 2: Convert to fraction form
    39,198/58,886 = 58,886/x
  3. Step 3: Cross multiply
    39,198x = 58,886 × 58,886
  4. Step 4: Simplify right side
    39,198x = 3,467,560,996
  5. Step 5: Solve for x
    x = 3,467,560,996/39,198
  6. Step 6: Final answer
    x = 88,462.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.