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Finding the Third Proportional to 9,082.13 and 19,999.41

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Solution

The third proportional to 9,082.13 and 19,999.41 is: 44,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.13 : 19,999.41 = 19,999.41 : x
  2. Step 2: Convert to fraction form
    9,082.13/19,999.41 = 19,999.41/x
  3. Step 3: Cross multiply
    9,082.13x = 19,999.41 × 19,999.41
  4. Step 4: Simplify right side
    9,082.13x = 399,976,250.35
  5. Step 5: Solve for x
    x = 399,976,250.35/9,082.13
  6. Step 6: Final answer
    x = 44,039.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.