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Finding the Third Proportional to 16,969.50 and 23,446.97

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Solution

The third proportional to 16,969.50 and 23,446.97 is: 32,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.50 : 23,446.97 = 23,446.97 : x
  2. Step 2: Convert to fraction form
    16,969.50/23,446.97 = 23,446.97/x
  3. Step 3: Cross multiply
    16,969.50x = 23,446.97 × 23,446.97
  4. Step 4: Simplify right side
    16,969.50x = 549,760,343.56
  5. Step 5: Solve for x
    x = 549,760,343.56/16,969.50
  6. Step 6: Final answer
    x = 32,396.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.