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Finding the Third Proportional to 10,999.13 and 22,474.13

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Solution

The third proportional to 10,999.13 and 22,474.13 is: 45,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.13 : 22,474.13 = 22,474.13 : x
  2. Step 2: Convert to fraction form
    10,999.13/22,474.13 = 22,474.13/x
  3. Step 3: Cross multiply
    10,999.13x = 22,474.13 × 22,474.13
  4. Step 4: Simplify right side
    10,999.13x = 505,086,294.52
  5. Step 5: Solve for x
    x = 505,086,294.52/10,999.13
  6. Step 6: Final answer
    x = 45,920.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.