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Finding the Third Proportional to 10,642 and 18,926

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Solution

The third proportional to 10,642 and 18,926 is: 33,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642 : 18,926 = 18,926 : x
  2. Step 2: Convert to fraction form
    10,642/18,926 = 18,926/x
  3. Step 3: Cross multiply
    10,642x = 18,926 × 18,926
  4. Step 4: Simplify right side
    10,642x = 358,193,476
  5. Step 5: Solve for x
    x = 358,193,476/10,642
  6. Step 6: Final answer
    x = 33,658.47

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.