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Finding the Third Proportional to 17,516 and 20,797

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Solution

The third proportional to 17,516 and 20,797 is: 24,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,516 : 20,797 = 20,797 : x
  2. Step 2: Convert to fraction form
    17,516/20,797 = 20,797/x
  3. Step 3: Cross multiply
    17,516x = 20,797 × 20,797
  4. Step 4: Simplify right side
    17,516x = 432,515,209
  5. Step 5: Solve for x
    x = 432,515,209/17,516
  6. Step 6: Final answer
    x = 24,692.58

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.