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Finding the Third Proportional to 10,954 and 16,946

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Solution

The third proportional to 10,954 and 16,946 is: 26,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954 : 16,946 = 16,946 : x
  2. Step 2: Convert to fraction form
    10,954/16,946 = 16,946/x
  3. Step 3: Cross multiply
    10,954x = 16,946 × 16,946
  4. Step 4: Simplify right side
    10,954x = 287,166,916
  5. Step 5: Solve for x
    x = 287,166,916/10,954
  6. Step 6: Final answer
    x = 26,215.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.