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Finding the Third Proportional to 9,194 and 12,926

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Solution

The third proportional to 9,194 and 12,926 is: 18,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194 : 12,926 = 12,926 : x
  2. Step 2: Convert to fraction form
    9,194/12,926 = 12,926/x
  3. Step 3: Cross multiply
    9,194x = 12,926 × 12,926
  4. Step 4: Simplify right side
    9,194x = 167,081,476
  5. Step 5: Solve for x
    x = 167,081,476/9,194
  6. Step 6: Final answer
    x = 18,172.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.