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Finding the Third Proportional to 1,992.75 and 3,217.13

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Solution

The third proportional to 1,992.75 and 3,217.13 is: 5,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.75 : 3,217.13 = 3,217.13 : x
  2. Step 2: Convert to fraction form
    1,992.75/3,217.13 = 3,217.13/x
  3. Step 3: Cross multiply
    1,992.75x = 3,217.13 × 3,217.13
  4. Step 4: Simplify right side
    1,992.75x = 10,349,893.27
  5. Step 5: Solve for x
    x = 10,349,893.27/1,992.75
  6. Step 6: Final answer
    x = 5,193.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.