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Finding the Third Proportional to 3,100.25 and 7,317.19

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Solution

The third proportional to 3,100.25 and 7,317.19 is: 17,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.25 : 7,317.19 = 7,317.19 : x
  2. Step 2: Convert to fraction form
    3,100.25/7,317.19 = 7,317.19/x
  3. Step 3: Cross multiply
    3,100.25x = 7,317.19 × 7,317.19
  4. Step 4: Simplify right side
    3,100.25x = 53,541,232.91
  5. Step 5: Solve for x
    x = 53,541,232.91/3,100.25
  6. Step 6: Final answer
    x = 17,269.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.