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Finding the Third Proportional to 20,194.31 and 41,368.22

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Solution

The third proportional to 20,194.31 and 41,368.22 is: 84,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.31 : 41,368.22 = 41,368.22 : x
  2. Step 2: Convert to fraction form
    20,194.31/41,368.22 = 41,368.22/x
  3. Step 3: Cross multiply
    20,194.31x = 41,368.22 × 41,368.22
  4. Step 4: Simplify right side
    20,194.31x = 1,711,329,522.55
  5. Step 5: Solve for x
    x = 1,711,329,522.55/20,194.31
  6. Step 6: Final answer
    x = 84,743.14

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.