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Finding the Third Proportional to 2,296.69 and 3,494.81

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Solution

The third proportional to 2,296.69 and 3,494.81 is: 5,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.69 : 3,494.81 = 3,494.81 : x
  2. Step 2: Convert to fraction form
    2,296.69/3,494.81 = 3,494.81/x
  3. Step 3: Cross multiply
    2,296.69x = 3,494.81 × 3,494.81
  4. Step 4: Simplify right side
    2,296.69x = 12,213,714.41
  5. Step 5: Solve for x
    x = 12,213,714.41/2,296.69
  6. Step 6: Final answer
    x = 5,317.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.