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Finding the Third Proportional to 3,214.69 and 3,493.13

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Solution

The third proportional to 3,214.69 and 3,493.13 is: 3,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.69 : 3,493.13 = 3,493.13 : x
  2. Step 2: Convert to fraction form
    3,214.69/3,493.13 = 3,493.13/x
  3. Step 3: Cross multiply
    3,214.69x = 3,493.13 × 3,493.13
  4. Step 4: Simplify right side
    3,214.69x = 12,201,922.27
  5. Step 5: Solve for x
    x = 12,201,922.27/3,214.69
  6. Step 6: Final answer
    x = 3,795.68

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.