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Finding the Third Proportional to 3,309.75 and 4,640.06

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Solution

The third proportional to 3,309.75 and 4,640.06 is: 6,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.75 : 4,640.06 = 4,640.06 : x
  2. Step 2: Convert to fraction form
    3,309.75/4,640.06 = 4,640.06/x
  3. Step 3: Cross multiply
    3,309.75x = 4,640.06 × 4,640.06
  4. Step 4: Simplify right side
    3,309.75x = 21,530,180.00
  5. Step 5: Solve for x
    x = 21,530,180.00/3,309.75
  6. Step 6: Final answer
    x = 6,505.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.