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Finding the Third Proportional to 2,134 and 3,217

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Solution

The third proportional to 2,134 and 3,217 is: 4,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134 : 3,217 = 3,217 : x
  2. Step 2: Convert to fraction form
    2,134/3,217 = 3,217/x
  3. Step 3: Cross multiply
    2,134x = 3,217 × 3,217
  4. Step 4: Simplify right side
    2,134x = 10,349,089
  5. Step 5: Solve for x
    x = 10,349,089/2,134
  6. Step 6: Final answer
    x = 4,849.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.