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Finding the Third Proportional to 34,649 and 74,842

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Solution

The third proportional to 34,649 and 74,842 is: 161,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649 : 74,842 = 74,842 : x
  2. Step 2: Convert to fraction form
    34,649/74,842 = 74,842/x
  3. Step 3: Cross multiply
    34,649x = 74,842 × 74,842
  4. Step 4: Simplify right side
    34,649x = 5,601,324,964
  5. Step 5: Solve for x
    x = 5,601,324,964/34,649
  6. Step 6: Final answer
    x = 161,659.07

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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.