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Finding the Third Proportional to 4,200 and 6,150

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Solution

The third proportional to 4,200 and 6,150 is: 9,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 6,150 = 6,150 : x
  2. Step 2: Convert to fraction form
    4,200/6,150 = 6,150/x
  3. Step 3: Cross multiply
    4,200x = 6,150 × 6,150
  4. Step 4: Simplify right side
    4,200x = 37,822,500
  5. Step 5: Solve for x
    x = 37,822,500/4,200
  6. Step 6: Final answer
    x = 9,005.36

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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.