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Finding the Third Proportional to 2,101.17 and 3,207.62

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Solution

The third proportional to 2,101.17 and 3,207.62 is: 4,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.17 : 3,207.62 = 3,207.62 : x
  2. Step 2: Convert to fraction form
    2,101.17/3,207.62 = 3,207.62/x
  3. Step 3: Cross multiply
    2,101.17x = 3,207.62 × 3,207.62
  4. Step 4: Simplify right side
    2,101.17x = 10,288,811.94
  5. Step 5: Solve for x
    x = 10,288,811.94/2,101.17
  6. Step 6: Final answer
    x = 4,896.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.