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Finding the Third Proportional to 2,272.13 and 3,215.25

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Solution

The third proportional to 2,272.13 and 3,215.25 is: 4,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.13 : 3,215.25 = 3,215.25 : x
  2. Step 2: Convert to fraction form
    2,272.13/3,215.25 = 3,215.25/x
  3. Step 3: Cross multiply
    2,272.13x = 3,215.25 × 3,215.25
  4. Step 4: Simplify right side
    2,272.13x = 10,337,832.56
  5. Step 5: Solve for x
    x = 10,337,832.56/2,272.13
  6. Step 6: Final answer
    x = 4,549.85

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.