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Finding the Third Proportional to 3,654 and 5,977

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Solution

The third proportional to 3,654 and 5,977 is: 9,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654 : 5,977 = 5,977 : x
  2. Step 2: Convert to fraction form
    3,654/5,977 = 5,977/x
  3. Step 3: Cross multiply
    3,654x = 5,977 × 5,977
  4. Step 4: Simplify right side
    3,654x = 35,724,529
  5. Step 5: Solve for x
    x = 35,724,529/3,654
  6. Step 6: Final answer
    x = 9,776.83

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.