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Finding the Third Proportional to 40,796 and 54,902

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Solution

The third proportional to 40,796 and 54,902 is: 73,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,796 : 54,902 = 54,902 : x
  2. Step 2: Convert to fraction form
    40,796/54,902 = 54,902/x
  3. Step 3: Cross multiply
    40,796x = 54,902 × 54,902
  4. Step 4: Simplify right side
    40,796x = 3,014,229,604
  5. Step 5: Solve for x
    x = 3,014,229,604/40,796
  6. Step 6: Final answer
    x = 73,885.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.