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Finding the Third Proportional to 31,857 and 47,865

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Solution

The third proportional to 31,857 and 47,865 is: 71,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857 : 47,865 = 47,865 : x
  2. Step 2: Convert to fraction form
    31,857/47,865 = 47,865/x
  3. Step 3: Cross multiply
    31,857x = 47,865 × 47,865
  4. Step 4: Simplify right side
    31,857x = 2,291,058,225
  5. Step 5: Solve for x
    x = 2,291,058,225/31,857
  6. Step 6: Final answer
    x = 71,916.95

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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.