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Finding the Third Proportional to 20,945 and 31,463

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Solution

The third proportional to 20,945 and 31,463 is: 47,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,945 : 31,463 = 31,463 : x
  2. Step 2: Convert to fraction form
    20,945/31,463 = 31,463/x
  3. Step 3: Cross multiply
    20,945x = 31,463 × 31,463
  4. Step 4: Simplify right side
    20,945x = 989,920,369
  5. Step 5: Solve for x
    x = 989,920,369/20,945
  6. Step 6: Final answer
    x = 47,262.85

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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.