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Finding the Third Proportional to 31,966 and 47,927

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Solution

The third proportional to 31,966 and 47,927 is: 71,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,966 : 47,927 = 47,927 : x
  2. Step 2: Convert to fraction form
    31,966/47,927 = 47,927/x
  3. Step 3: Cross multiply
    31,966x = 47,927 × 47,927
  4. Step 4: Simplify right side
    31,966x = 2,296,997,329
  5. Step 5: Solve for x
    x = 2,296,997,329/31,966
  6. Step 6: Final answer
    x = 71,857.52

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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.