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Finding the Third Proportional to 10,593 and 21,813

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Solution

The third proportional to 10,593 and 21,813 is: 44,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593 : 21,813 = 21,813 : x
  2. Step 2: Convert to fraction form
    10,593/21,813 = 21,813/x
  3. Step 3: Cross multiply
    10,593x = 21,813 × 21,813
  4. Step 4: Simplify right side
    10,593x = 475,806,969
  5. Step 5: Solve for x
    x = 475,806,969/10,593
  6. Step 6: Final answer
    x = 44,917.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.