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Finding the Third Proportional to 22,046.06 and 47,942.06

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Solution

The third proportional to 22,046.06 and 47,942.06 is: 104,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.06 : 47,942.06 = 47,942.06 : x
  2. Step 2: Convert to fraction form
    22,046.06/47,942.06 = 47,942.06/x
  3. Step 3: Cross multiply
    22,046.06x = 47,942.06 × 47,942.06
  4. Step 4: Simplify right side
    22,046.06x = 2,298,441,356.75
  5. Step 5: Solve for x
    x = 2,298,441,356.75/22,046.06
  6. Step 6: Final answer
    x = 104,256.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.