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Finding the Third Proportional to 20,757.94 and 45,412.31

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Solution

The third proportional to 20,757.94 and 45,412.31 is: 99,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.94 : 45,412.31 = 45,412.31 : x
  2. Step 2: Convert to fraction form
    20,757.94/45,412.31 = 45,412.31/x
  3. Step 3: Cross multiply
    20,757.94x = 45,412.31 × 45,412.31
  4. Step 4: Simplify right side
    20,757.94x = 2,062,278,126.60
  5. Step 5: Solve for x
    x = 2,062,278,126.60/20,757.94
  6. Step 6: Final answer
    x = 99,348.89

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