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Finding the Third Proportional to 38,196 and 82,926

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Solution

The third proportional to 38,196 and 82,926 is: 180,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,196 : 82,926 = 82,926 : x
  2. Step 2: Convert to fraction form
    38,196/82,926 = 82,926/x
  3. Step 3: Cross multiply
    38,196x = 82,926 × 82,926
  4. Step 4: Simplify right side
    38,196x = 6,876,721,476
  5. Step 5: Solve for x
    x = 6,876,721,476/38,196
  6. Step 6: Final answer
    x = 180,037.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.