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Finding the Third Proportional to 6,791.34 and 9,926.30

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Solution

The third proportional to 6,791.34 and 9,926.30 is: 14,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.34 : 9,926.30 = 9,926.30 : x
  2. Step 2: Convert to fraction form
    6,791.34/9,926.30 = 9,926.30/x
  3. Step 3: Cross multiply
    6,791.34x = 9,926.30 × 9,926.30
  4. Step 4: Simplify right side
    6,791.34x = 98,531,369.65
  5. Step 5: Solve for x
    x = 98,531,369.65/6,791.34
  6. Step 6: Final answer
    x = 14,508.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.