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Finding the Third Proportional to 8,319 and 11,074

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Solution

The third proportional to 8,319 and 11,074 is: 14,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319 : 11,074 = 11,074 : x
  2. Step 2: Convert to fraction form
    8,319/11,074 = 11,074/x
  3. Step 3: Cross multiply
    8,319x = 11,074 × 11,074
  4. Step 4: Simplify right side
    8,319x = 122,633,476
  5. Step 5: Solve for x
    x = 122,633,476/8,319
  6. Step 6: Final answer
    x = 14,741.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.