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Finding the Third Proportional to 3,420 and 4,500

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Solution

The third proportional to 3,420 and 4,500 is: 5,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 4,500 = 4,500 : x
  2. Step 2: Convert to fraction form
    3,420/4,500 = 4,500/x
  3. Step 3: Cross multiply
    3,420x = 4,500 × 4,500
  4. Step 4: Simplify right side
    3,420x = 20,250,000
  5. Step 5: Solve for x
    x = 20,250,000/3,420
  6. Step 6: Final answer
    x = 5,921.05

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.