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Finding the Third Proportional to 15,923 and 31,441

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Solution

The third proportional to 15,923 and 31,441 is: 62,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923 : 31,441 = 31,441 : x
  2. Step 2: Convert to fraction form
    15,923/31,441 = 31,441/x
  3. Step 3: Cross multiply
    15,923x = 31,441 × 31,441
  4. Step 4: Simplify right side
    15,923x = 988,536,481
  5. Step 5: Solve for x
    x = 988,536,481/15,923
  6. Step 6: Final answer
    x = 62,082.30

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.