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Finding the Third Proportional to 39,197 and 58,884

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Solution

The third proportional to 39,197 and 58,884 is: 88,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,197 : 58,884 = 58,884 : x
  2. Step 2: Convert to fraction form
    39,197/58,884 = 58,884/x
  3. Step 3: Cross multiply
    39,197x = 58,884 × 58,884
  4. Step 4: Simplify right side
    39,197x = 3,467,325,456
  5. Step 5: Solve for x
    x = 3,467,325,456/39,197
  6. Step 6: Final answer
    x = 88,458.95

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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.