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Finding the Third Proportional to 3,000 and 4,977

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Solution

The third proportional to 3,000 and 4,977 is: 8,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000 : 4,977 = 4,977 : x
  2. Step 2: Convert to fraction form
    3,000/4,977 = 4,977/x
  3. Step 3: Cross multiply
    3,000x = 4,977 × 4,977
  4. Step 4: Simplify right side
    3,000x = 24,770,529
  5. Step 5: Solve for x
    x = 24,770,529/3,000
  6. Step 6: Final answer
    x = 8,256.84

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.