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Finding the Third Proportional to 3,276.25 and 7,074.25

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Solution

The third proportional to 3,276.25 and 7,074.25 is: 15,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.25 : 7,074.25 = 7,074.25 : x
  2. Step 2: Convert to fraction form
    3,276.25/7,074.25 = 7,074.25/x
  3. Step 3: Cross multiply
    3,276.25x = 7,074.25 × 7,074.25
  4. Step 4: Simplify right side
    3,276.25x = 50,045,013.06
  5. Step 5: Solve for x
    x = 50,045,013.06/3,276.25
  6. Step 6: Final answer
    x = 15,275.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.