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Finding the Third Proportional to 3,217 and 4,318

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Solution

The third proportional to 3,217 and 4,318 is: 5,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217 : 4,318 = 4,318 : x
  2. Step 2: Convert to fraction form
    3,217/4,318 = 4,318/x
  3. Step 3: Cross multiply
    3,217x = 4,318 × 4,318
  4. Step 4: Simplify right side
    3,217x = 18,645,124
  5. Step 5: Solve for x
    x = 18,645,124/3,217
  6. Step 6: Final answer
    x = 5,795.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.