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Finding the Third Proportional to 3,257 and 4,230

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Solution

The third proportional to 3,257 and 4,230 is: 5,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257 : 4,230 = 4,230 : x
  2. Step 2: Convert to fraction form
    3,257/4,230 = 4,230/x
  3. Step 3: Cross multiply
    3,257x = 4,230 × 4,230
  4. Step 4: Simplify right side
    3,257x = 17,892,900
  5. Step 5: Solve for x
    x = 17,892,900/3,257
  6. Step 6: Final answer
    x = 5,493.68

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.