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Finding the Third Proportional to 40,629 and 60,945

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Solution

The third proportional to 40,629 and 60,945 is: 91,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,629 : 60,945 = 60,945 : x
  2. Step 2: Convert to fraction form
    40,629/60,945 = 60,945/x
  3. Step 3: Cross multiply
    40,629x = 60,945 × 60,945
  4. Step 4: Simplify right side
    40,629x = 3,714,293,025
  5. Step 5: Solve for x
    x = 3,714,293,025/40,629
  6. Step 6: Final answer
    x = 91,419.75

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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.