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Finding the Third Proportional to 2,972.25 and 5,505.75

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Solution

The third proportional to 2,972.25 and 5,505.75 is: 10,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.25 : 5,505.75 = 5,505.75 : x
  2. Step 2: Convert to fraction form
    2,972.25/5,505.75 = 5,505.75/x
  3. Step 3: Cross multiply
    2,972.25x = 5,505.75 × 5,505.75
  4. Step 4: Simplify right side
    2,972.25x = 30,313,283.06
  5. Step 5: Solve for x
    x = 30,313,283.06/2,972.25
  6. Step 6: Final answer
    x = 10,198.77

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.