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Finding the Third Proportional to 10,631 and 22,933

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Solution

The third proportional to 10,631 and 22,933 is: 49,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631 : 22,933 = 22,933 : x
  2. Step 2: Convert to fraction form
    10,631/22,933 = 22,933/x
  3. Step 3: Cross multiply
    10,631x = 22,933 × 22,933
  4. Step 4: Simplify right side
    10,631x = 525,922,489
  5. Step 5: Solve for x
    x = 525,922,489/10,631
  6. Step 6: Final answer
    x = 49,470.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.