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Finding the Third Proportional to 31,236 and 47,782

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Solution

The third proportional to 31,236 and 47,782 is: 73,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,236 : 47,782 = 47,782 : x
  2. Step 2: Convert to fraction form
    31,236/47,782 = 47,782/x
  3. Step 3: Cross multiply
    31,236x = 47,782 × 47,782
  4. Step 4: Simplify right side
    31,236x = 2,283,119,524
  5. Step 5: Solve for x
    x = 2,283,119,524/31,236
  6. Step 6: Final answer
    x = 73,092.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.