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Finding the Third Proportional to 9,523.13 and 20,891.81

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Solution

The third proportional to 9,523.13 and 20,891.81 is: 45,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.13 : 20,891.81 = 20,891.81 : x
  2. Step 2: Convert to fraction form
    9,523.13/20,891.81 = 20,891.81/x
  3. Step 3: Cross multiply
    9,523.13x = 20,891.81 × 20,891.81
  4. Step 4: Simplify right side
    9,523.13x = 436,467,829.54
  5. Step 5: Solve for x
    x = 436,467,829.54/9,523.13
  6. Step 6: Final answer
    x = 45,832.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.