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Finding the Third Proportional to 2,908.25 and 4,153.75

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Solution

The third proportional to 2,908.25 and 4,153.75 is: 5,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.25 : 4,153.75 = 4,153.75 : x
  2. Step 2: Convert to fraction form
    2,908.25/4,153.75 = 4,153.75/x
  3. Step 3: Cross multiply
    2,908.25x = 4,153.75 × 4,153.75
  4. Step 4: Simplify right side
    2,908.25x = 17,253,639.06
  5. Step 5: Solve for x
    x = 17,253,639.06/2,908.25
  6. Step 6: Final answer
    x = 5,932.65

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.