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Finding the Third Proportional to 2,901.75 and 4,295.25

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Solution

The third proportional to 2,901.75 and 4,295.25 is: 6,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.75 : 4,295.25 = 4,295.25 : x
  2. Step 2: Convert to fraction form
    2,901.75/4,295.25 = 4,295.25/x
  3. Step 3: Cross multiply
    2,901.75x = 4,295.25 × 4,295.25
  4. Step 4: Simplify right side
    2,901.75x = 18,449,172.56
  5. Step 5: Solve for x
    x = 18,449,172.56/2,901.75
  6. Step 6: Final answer
    x = 6,357.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.