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Finding the Third Proportional to 10,954 and 16,715

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Solution

The third proportional to 10,954 and 16,715 is: 25,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954 : 16,715 = 16,715 : x
  2. Step 2: Convert to fraction form
    10,954/16,715 = 16,715/x
  3. Step 3: Cross multiply
    10,954x = 16,715 × 16,715
  4. Step 4: Simplify right side
    10,954x = 279,391,225
  5. Step 5: Solve for x
    x = 279,391,225/10,954
  6. Step 6: Final answer
    x = 25,505.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.