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Finding the Third Proportional to 2,909.25 and 4,257.56

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Solution

The third proportional to 2,909.25 and 4,257.56 is: 6,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.25 : 4,257.56 = 4,257.56 : x
  2. Step 2: Convert to fraction form
    2,909.25/4,257.56 = 4,257.56/x
  3. Step 3: Cross multiply
    2,909.25x = 4,257.56 × 4,257.56
  4. Step 4: Simplify right side
    2,909.25x = 18,126,838.44
  5. Step 5: Solve for x
    x = 18,126,838.44/2,909.25
  6. Step 6: Final answer
    x = 6,230.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.