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Finding the Third Proportional to 5,784.75 and 11,979.56

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Solution

The third proportional to 5,784.75 and 11,979.56 is: 24,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.75 : 11,979.56 = 11,979.56 : x
  2. Step 2: Convert to fraction form
    5,784.75/11,979.56 = 11,979.56/x
  3. Step 3: Cross multiply
    5,784.75x = 11,979.56 × 11,979.56
  4. Step 4: Simplify right side
    5,784.75x = 143,509,917.69
  5. Step 5: Solve for x
    x = 143,509,917.69/5,784.75
  6. Step 6: Final answer
    x = 24,808.32

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.