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Finding the Third Proportional to 20,142.42 and 43,426.76

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Solution

The third proportional to 20,142.42 and 43,426.76 is: 93,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.42 : 43,426.76 = 43,426.76 : x
  2. Step 2: Convert to fraction form
    20,142.42/43,426.76 = 43,426.76/x
  3. Step 3: Cross multiply
    20,142.42x = 43,426.76 × 43,426.76
  4. Step 4: Simplify right side
    20,142.42x = 1,885,883,294.11
  5. Step 5: Solve for x
    x = 1,885,883,294.11/20,142.42
  6. Step 6: Final answer
    x = 93,627.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.