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Finding the Third Proportional to 2,476.50 and 5,979.75

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Solution

The third proportional to 2,476.50 and 5,979.75 is: 14,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.50 : 5,979.75 = 5,979.75 : x
  2. Step 2: Convert to fraction form
    2,476.50/5,979.75 = 5,979.75/x
  3. Step 3: Cross multiply
    2,476.50x = 5,979.75 × 5,979.75
  4. Step 4: Simplify right side
    2,476.50x = 35,757,410.06
  5. Step 5: Solve for x
    x = 35,757,410.06/2,476.50
  6. Step 6: Final answer
    x = 14,438.69

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.