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Finding the Third Proportional to 8,034 and 11,787

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Solution

The third proportional to 8,034 and 11,787 is: 17,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034 : 11,787 = 11,787 : x
  2. Step 2: Convert to fraction form
    8,034/11,787 = 11,787/x
  3. Step 3: Cross multiply
    8,034x = 11,787 × 11,787
  4. Step 4: Simplify right side
    8,034x = 138,933,369
  5. Step 5: Solve for x
    x = 138,933,369/8,034
  6. Step 6: Final answer
    x = 17,293.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.