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Finding the Third Proportional to 2,388.94 and 2,750.06

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Solution

The third proportional to 2,388.94 and 2,750.06 is: 3,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.94 : 2,750.06 = 2,750.06 : x
  2. Step 2: Convert to fraction form
    2,388.94/2,750.06 = 2,750.06/x
  3. Step 3: Cross multiply
    2,388.94x = 2,750.06 × 2,750.06
  4. Step 4: Simplify right side
    2,388.94x = 7,562,843.75
  5. Step 5: Solve for x
    x = 7,562,843.75/2,388.94
  6. Step 6: Final answer
    x = 3,165.78

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.