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Finding the Third Proportional to 3,296.25 and 5,180.25

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Solution

The third proportional to 3,296.25 and 5,180.25 is: 8,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.25 : 5,180.25 = 5,180.25 : x
  2. Step 2: Convert to fraction form
    3,296.25/5,180.25 = 5,180.25/x
  3. Step 3: Cross multiply
    3,296.25x = 5,180.25 × 5,180.25
  4. Step 4: Simplify right side
    3,296.25x = 26,834,990.06
  5. Step 5: Solve for x
    x = 26,834,990.06/3,296.25
  6. Step 6: Final answer
    x = 8,141.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.