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Finding the Third Proportional to 2,505.94 and 3,951.28

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Solution

The third proportional to 2,505.94 and 3,951.28 is: 6,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.94 : 3,951.28 = 3,951.28 : x
  2. Step 2: Convert to fraction form
    2,505.94/3,951.28 = 3,951.28/x
  3. Step 3: Cross multiply
    2,505.94x = 3,951.28 × 3,951.28
  4. Step 4: Simplify right side
    2,505.94x = 15,612,623.52
  5. Step 5: Solve for x
    x = 15,612,623.52/2,505.94
  6. Step 6: Final answer
    x = 6,230.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.