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Finding the Third Proportional to 9,942.75 and 21,409.31

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Solution

The third proportional to 9,942.75 and 21,409.31 is: 46,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.75 : 21,409.31 = 21,409.31 : x
  2. Step 2: Convert to fraction form
    9,942.75/21,409.31 = 21,409.31/x
  3. Step 3: Cross multiply
    9,942.75x = 21,409.31 × 21,409.31
  4. Step 4: Simplify right side
    9,942.75x = 458,358,661.72
  5. Step 5: Solve for x
    x = 458,358,661.72/9,942.75
  6. Step 6: Final answer
    x = 46,099.79

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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.