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Finding the Third Proportional to 3,295.13 and 7,238.25

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Solution

The third proportional to 3,295.13 and 7,238.25 is: 15,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.13 : 7,238.25 = 7,238.25 : x
  2. Step 2: Convert to fraction form
    3,295.13/7,238.25 = 7,238.25/x
  3. Step 3: Cross multiply
    3,295.13x = 7,238.25 × 7,238.25
  4. Step 4: Simplify right side
    3,295.13x = 52,392,263.06
  5. Step 5: Solve for x
    x = 52,392,263.06/3,295.13
  6. Step 6: Final answer
    x = 15,899.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.