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Finding the Third Proportional to 16,717 and 25,916

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Solution

The third proportional to 16,717 and 25,916 is: 40,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717 : 25,916 = 25,916 : x
  2. Step 2: Convert to fraction form
    16,717/25,916 = 25,916/x
  3. Step 3: Cross multiply
    16,717x = 25,916 × 25,916
  4. Step 4: Simplify right side
    16,717x = 671,639,056
  5. Step 5: Solve for x
    x = 671,639,056/16,717
  6. Step 6: Final answer
    x = 40,177.01

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Why These Related Problems?

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