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Finding the Third Proportional to 3,177 and 4,217

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Solution

The third proportional to 3,177 and 4,217 is: 5,597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 4,217 = 4,217 : x
  2. Step 2: Convert to fraction form
    3,177/4,217 = 4,217/x
  3. Step 3: Cross multiply
    3,177x = 4,217 × 4,217
  4. Step 4: Simplify right side
    3,177x = 17,783,089
  5. Step 5: Solve for x
    x = 17,783,089/3,177
  6. Step 6: Final answer
    x = 5,597.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.