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Finding the Third Proportional to 4,677 and 10,977

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Solution

The third proportional to 4,677 and 10,977 is: 25,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677 : 10,977 = 10,977 : x
  2. Step 2: Convert to fraction form
    4,677/10,977 = 10,977/x
  3. Step 3: Cross multiply
    4,677x = 10,977 × 10,977
  4. Step 4: Simplify right side
    4,677x = 120,494,529
  5. Step 5: Solve for x
    x = 120,494,529/4,677
  6. Step 6: Final answer
    x = 25,763.21

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.