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Finding the Third Proportional to 29,954 and 32,834

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Solution

The third proportional to 29,954 and 32,834 is: 35,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954 : 32,834 = 32,834 : x
  2. Step 2: Convert to fraction form
    29,954/32,834 = 32,834/x
  3. Step 3: Cross multiply
    29,954x = 32,834 × 32,834
  4. Step 4: Simplify right side
    29,954x = 1,078,071,556
  5. Step 5: Solve for x
    x = 1,078,071,556/29,954
  6. Step 6: Final answer
    x = 35,990.90

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.