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Finding the Third Proportional to 20,022.19 and 42,892.03

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Solution

The third proportional to 20,022.19 and 42,892.03 is: 91,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.19 : 42,892.03 = 42,892.03 : x
  2. Step 2: Convert to fraction form
    20,022.19/42,892.03 = 42,892.03/x
  3. Step 3: Cross multiply
    20,022.19x = 42,892.03 × 42,892.03
  4. Step 4: Simplify right side
    20,022.19x = 1,839,726,344.75
  5. Step 5: Solve for x
    x = 1,839,726,344.75/20,022.19
  6. Step 6: Final answer
    x = 91,884.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.