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Finding the Third Proportional to 10,933 and 23,813

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Solution

The third proportional to 10,933 and 23,813 is: 51,866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933 : 23,813 = 23,813 : x
  2. Step 2: Convert to fraction form
    10,933/23,813 = 23,813/x
  3. Step 3: Cross multiply
    10,933x = 23,813 × 23,813
  4. Step 4: Simplify right side
    10,933x = 567,058,969
  5. Step 5: Solve for x
    x = 567,058,969/10,933
  6. Step 6: Final answer
    x = 51,866.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.