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Finding the Third Proportional to 23,083.22 and 49,614.42

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Solution

The third proportional to 23,083.22 and 49,614.42 is: 106,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.22 : 49,614.42 = 49,614.42 : x
  2. Step 2: Convert to fraction form
    23,083.22/49,614.42 = 49,614.42/x
  3. Step 3: Cross multiply
    23,083.22x = 49,614.42 × 49,614.42
  4. Step 4: Simplify right side
    23,083.22x = 2,461,590,857.99
  5. Step 5: Solve for x
    x = 2,461,590,857.99/23,083.22
  6. Step 6: Final answer
    x = 106,639.84

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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.