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Finding the Third Proportional to 31,082 and 39,927

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Solution

The third proportional to 31,082 and 39,927 is: 51,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082 : 39,927 = 39,927 : x
  2. Step 2: Convert to fraction form
    31,082/39,927 = 39,927/x
  3. Step 3: Cross multiply
    31,082x = 39,927 × 39,927
  4. Step 4: Simplify right side
    31,082x = 1,594,165,329
  5. Step 5: Solve for x
    x = 1,594,165,329/31,082
  6. Step 6: Final answer
    x = 51,289.02

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.