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Finding the Third Proportional to 22,107.07 and 47,716.75

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Solution

The third proportional to 22,107.07 and 47,716.75 is: 102,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.07 : 47,716.75 = 47,716.75 : x
  2. Step 2: Convert to fraction form
    22,107.07/47,716.75 = 47,716.75/x
  3. Step 3: Cross multiply
    22,107.07x = 47,716.75 × 47,716.75
  4. Step 4: Simplify right side
    22,107.07x = 2,276,888,416.96
  5. Step 5: Solve for x
    x = 2,276,888,416.96/22,107.07
  6. Step 6: Final answer
    x = 102,993.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.