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Finding the Third Proportional to 6,976.13 and 13,233.38

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Solution

The third proportional to 6,976.13 and 13,233.38 is: 25,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.13 : 13,233.38 = 13,233.38 : x
  2. Step 2: Convert to fraction form
    6,976.13/13,233.38 = 13,233.38/x
  3. Step 3: Cross multiply
    6,976.13x = 13,233.38 × 13,233.38
  4. Step 4: Simplify right side
    6,976.13x = 175,122,213.89
  5. Step 5: Solve for x
    x = 175,122,213.89/6,976.13
  6. Step 6: Final answer
    x = 25,103.08

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.