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Finding the Third Proportional to 3,108.38 and 6,717.94

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Solution

The third proportional to 3,108.38 and 6,717.94 is: 14,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.38 : 6,717.94 = 6,717.94 : x
  2. Step 2: Convert to fraction form
    3,108.38/6,717.94 = 6,717.94/x
  3. Step 3: Cross multiply
    3,108.38x = 6,717.94 × 6,717.94
  4. Step 4: Simplify right side
    3,108.38x = 45,130,684.25
  5. Step 5: Solve for x
    x = 45,130,684.25/3,108.38
  6. Step 6: Final answer
    x = 14,519.06

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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.