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Finding the Third Proportional to 19,443.56 and 41,651.06

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Solution

The third proportional to 19,443.56 and 41,651.06 is: 89,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,443.56 : 41,651.06 = 41,651.06 : x
  2. Step 2: Convert to fraction form
    19,443.56/41,651.06 = 41,651.06/x
  3. Step 3: Cross multiply
    19,443.56x = 41,651.06 × 41,651.06
  4. Step 4: Simplify right side
    19,443.56x = 1,734,811,007.38
  5. Step 5: Solve for x
    x = 1,734,811,007.38/19,443.56
  6. Step 6: Final answer
    x = 89,222.90

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