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Finding the Third Proportional to 32,611 and 70,892

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Solution

The third proportional to 32,611 and 70,892 is: 154,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,611 : 70,892 = 70,892 : x
  2. Step 2: Convert to fraction form
    32,611/70,892 = 70,892/x
  3. Step 3: Cross multiply
    32,611x = 70,892 × 70,892
  4. Step 4: Simplify right side
    32,611x = 5,025,675,664
  5. Step 5: Solve for x
    x = 5,025,675,664/32,611
  6. Step 6: Final answer
    x = 154,109.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.