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Finding the Third Proportional to 38,862 and 83,926

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Solution

The third proportional to 38,862 and 83,926 is: 181,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862 : 83,926 = 83,926 : x
  2. Step 2: Convert to fraction form
    38,862/83,926 = 83,926/x
  3. Step 3: Cross multiply
    38,862x = 83,926 × 83,926
  4. Step 4: Simplify right side
    38,862x = 7,043,573,476
  5. Step 5: Solve for x
    x = 7,043,573,476/38,862
  6. Step 6: Final answer
    x = 181,245.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.