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Finding the Third Proportional to 2,380 and 3,477

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Solution

The third proportional to 2,380 and 3,477 is: 5,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380 : 3,477 = 3,477 : x
  2. Step 2: Convert to fraction form
    2,380/3,477 = 3,477/x
  3. Step 3: Cross multiply
    2,380x = 3,477 × 3,477
  4. Step 4: Simplify right side
    2,380x = 12,089,529
  5. Step 5: Solve for x
    x = 12,089,529/2,380
  6. Step 6: Final answer
    x = 5,079.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.