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Finding the Third Proportional to 3,230 and 5,250

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Solution

The third proportional to 3,230 and 5,250 is: 8,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230 : 5,250 = 5,250 : x
  2. Step 2: Convert to fraction form
    3,230/5,250 = 5,250/x
  3. Step 3: Cross multiply
    3,230x = 5,250 × 5,250
  4. Step 4: Simplify right side
    3,230x = 27,562,500
  5. Step 5: Solve for x
    x = 27,562,500/3,230
  6. Step 6: Final answer
    x = 8,533.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.