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Finding the Third Proportional to 5,383.13 and 10,911.38

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Solution

The third proportional to 5,383.13 and 10,911.38 is: 22,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.13 : 10,911.38 = 10,911.38 : x
  2. Step 2: Convert to fraction form
    5,383.13/10,911.38 = 10,911.38/x
  3. Step 3: Cross multiply
    5,383.13x = 10,911.38 × 10,911.38
  4. Step 4: Simplify right side
    5,383.13x = 119,058,104.39
  5. Step 5: Solve for x
    x = 119,058,104.39/5,383.13
  6. Step 6: Final answer
    x = 22,116.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.