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Finding the Third Proportional to 7,836.75 and 11,955.94

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Solution

The third proportional to 7,836.75 and 11,955.94 is: 18,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.75 : 11,955.94 = 11,955.94 : x
  2. Step 2: Convert to fraction form
    7,836.75/11,955.94 = 11,955.94/x
  3. Step 3: Cross multiply
    7,836.75x = 11,955.94 × 11,955.94
  4. Step 4: Simplify right side
    7,836.75x = 142,944,441.50
  5. Step 5: Solve for x
    x = 142,944,441.50/7,836.75
  6. Step 6: Final answer
    x = 18,240.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.