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Finding the Third Proportional to 10,591.88 and 23,028.19

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Solution

The third proportional to 10,591.88 and 23,028.19 is: 50,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.88 : 23,028.19 = 23,028.19 : x
  2. Step 2: Convert to fraction form
    10,591.88/23,028.19 = 23,028.19/x
  3. Step 3: Cross multiply
    10,591.88x = 23,028.19 × 23,028.19
  4. Step 4: Simplify right side
    10,591.88x = 530,297,419.54
  5. Step 5: Solve for x
    x = 530,297,419.54/10,591.88
  6. Step 6: Final answer
    x = 50,066.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.