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Finding the Third Proportional to 1,977 and 4,677

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Solution

The third proportional to 1,977 and 4,677 is: 11,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977 : 4,677 = 4,677 : x
  2. Step 2: Convert to fraction form
    1,977/4,677 = 4,677/x
  3. Step 3: Cross multiply
    1,977x = 4,677 × 4,677
  4. Step 4: Simplify right side
    1,977x = 21,874,329
  5. Step 5: Solve for x
    x = 21,874,329/1,977
  6. Step 6: Final answer
    x = 11,064.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.