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Finding the Third Proportional to 19,506.66 and 41,974.03

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Solution

The third proportional to 19,506.66 and 41,974.03 is: 90,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.66 : 41,974.03 = 41,974.03 : x
  2. Step 2: Convert to fraction form
    19,506.66/41,974.03 = 41,974.03/x
  3. Step 3: Cross multiply
    19,506.66x = 41,974.03 × 41,974.03
  4. Step 4: Simplify right side
    19,506.66x = 1,761,819,299.38
  5. Step 5: Solve for x
    x = 1,761,819,299.38/19,506.66
  6. Step 6: Final answer
    x = 90,318.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.