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Finding the Third Proportional to 26,815 and 40,170

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Solution

The third proportional to 26,815 and 40,170 is: 60,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,815 : 40,170 = 40,170 : x
  2. Step 2: Convert to fraction form
    26,815/40,170 = 40,170/x
  3. Step 3: Cross multiply
    26,815x = 40,170 × 40,170
  4. Step 4: Simplify right side
    26,815x = 1,613,628,900
  5. Step 5: Solve for x
    x = 1,613,628,900/26,815
  6. Step 6: Final answer
    x = 60,176.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.