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Finding the Third Proportional to 2,190.38 and 3,401.06

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Solution

The third proportional to 2,190.38 and 3,401.06 is: 5,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.38 : 3,401.06 = 3,401.06 : x
  2. Step 2: Convert to fraction form
    2,190.38/3,401.06 = 3,401.06/x
  3. Step 3: Cross multiply
    2,190.38x = 3,401.06 × 3,401.06
  4. Step 4: Simplify right side
    2,190.38x = 11,567,226.13
  5. Step 5: Solve for x
    x = 11,567,226.13/2,190.38
  6. Step 6: Final answer
    x = 5,280.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.