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Finding the Third Proportional to 40,926 and 63,198

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Solution

The third proportional to 40,926 and 63,198 is: 97,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,926 : 63,198 = 63,198 : x
  2. Step 2: Convert to fraction form
    40,926/63,198 = 63,198/x
  3. Step 3: Cross multiply
    40,926x = 63,198 × 63,198
  4. Step 4: Simplify right side
    40,926x = 3,993,987,204
  5. Step 5: Solve for x
    x = 3,993,987,204/40,926
  6. Step 6: Final answer
    x = 97,590.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.