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Finding the Third Proportional to 36,471 and 55,197

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Solution

The third proportional to 36,471 and 55,197 is: 83,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,471 : 55,197 = 55,197 : x
  2. Step 2: Convert to fraction form
    36,471/55,197 = 55,197/x
  3. Step 3: Cross multiply
    36,471x = 55,197 × 55,197
  4. Step 4: Simplify right side
    36,471x = 3,046,708,809
  5. Step 5: Solve for x
    x = 3,046,708,809/36,471
  6. Step 6: Final answer
    x = 83,537.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.