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Finding the Third Proportional to 6,739.45 and 13,809.23

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Solution

The third proportional to 6,739.45 and 13,809.23 is: 28,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.45 : 13,809.23 = 13,809.23 : x
  2. Step 2: Convert to fraction form
    6,739.45/13,809.23 = 13,809.23/x
  3. Step 3: Cross multiply
    6,739.45x = 13,809.23 × 13,809.23
  4. Step 4: Simplify right side
    6,739.45x = 190,694,954.02
  5. Step 5: Solve for x
    x = 190,694,954.02/6,739.45
  6. Step 6: Final answer
    x = 28,295.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.