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Finding the Third Proportional to 2,977 and 4,456

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Solution

The third proportional to 2,977 and 4,456 is: 6,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977 : 4,456 = 4,456 : x
  2. Step 2: Convert to fraction form
    2,977/4,456 = 4,456/x
  3. Step 3: Cross multiply
    2,977x = 4,456 × 4,456
  4. Step 4: Simplify right side
    2,977x = 19,855,936
  5. Step 5: Solve for x
    x = 19,855,936/2,977
  6. Step 6: Final answer
    x = 6,669.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.