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Finding the Third Proportional to 6,718.38 and 13,981.75

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Solution

The third proportional to 6,718.38 and 13,981.75 is: 29,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.38 : 13,981.75 = 13,981.75 : x
  2. Step 2: Convert to fraction form
    6,718.38/13,981.75 = 13,981.75/x
  3. Step 3: Cross multiply
    6,718.38x = 13,981.75 × 13,981.75
  4. Step 4: Simplify right side
    6,718.38x = 195,489,333.06
  5. Step 5: Solve for x
    x = 195,489,333.06/6,718.38
  6. Step 6: Final answer
    x = 29,097.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.