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Finding the Third Proportional to 20,647.41 and 54,940.78

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Solution

The third proportional to 20,647.41 and 54,940.78 is: 146,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.41 : 54,940.78 = 54,940.78 : x
  2. Step 2: Convert to fraction form
    20,647.41/54,940.78 = 54,940.78/x
  3. Step 3: Cross multiply
    20,647.41x = 54,940.78 × 54,940.78
  4. Step 4: Simplify right side
    20,647.41x = 3,018,489,444.36
  5. Step 5: Solve for x
    x = 3,018,489,444.36/20,647.41
  6. Step 6: Final answer
    x = 146,192.19

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These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.