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Finding the Third Proportional to 6,498 and 10,977

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Solution

The third proportional to 6,498 and 10,977 is: 18,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 10,977 = 10,977 : x
  2. Step 2: Convert to fraction form
    6,498/10,977 = 10,977/x
  3. Step 3: Cross multiply
    6,498x = 10,977 × 10,977
  4. Step 4: Simplify right side
    6,498x = 120,494,529
  5. Step 5: Solve for x
    x = 120,494,529/6,498
  6. Step 6: Final answer
    x = 18,543.33

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.