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Finding the Third Proportional to 6,717.62 and 13,270.08

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Solution

The third proportional to 6,717.62 and 13,270.08 is: 26,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.62 : 13,270.08 = 13,270.08 : x
  2. Step 2: Convert to fraction form
    6,717.62/13,270.08 = 13,270.08/x
  3. Step 3: Cross multiply
    6,717.62x = 13,270.08 × 13,270.08
  4. Step 4: Simplify right side
    6,717.62x = 176,094,973.44
  5. Step 5: Solve for x
    x = 176,094,973.44/6,717.62
  6. Step 6: Final answer
    x = 26,213.89

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.