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Finding the Third Proportional to 31,264 and 47,197

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Solution

The third proportional to 31,264 and 47,197 is: 71,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,264 : 47,197 = 47,197 : x
  2. Step 2: Convert to fraction form
    31,264/47,197 = 47,197/x
  3. Step 3: Cross multiply
    31,264x = 47,197 × 47,197
  4. Step 4: Simplify right side
    31,264x = 2,227,556,809
  5. Step 5: Solve for x
    x = 2,227,556,809/31,264
  6. Step 6: Final answer
    x = 71,249.90

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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.