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Finding the Third Proportional to 6,005.25 and 9,083.25

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Solution

The third proportional to 6,005.25 and 9,083.25 is: 13,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.25 : 9,083.25 = 9,083.25 : x
  2. Step 2: Convert to fraction form
    6,005.25/9,083.25 = 9,083.25/x
  3. Step 3: Cross multiply
    6,005.25x = 9,083.25 × 9,083.25
  4. Step 4: Simplify right side
    6,005.25x = 82,505,430.56
  5. Step 5: Solve for x
    x = 82,505,430.56/6,005.25
  6. Step 6: Final answer
    x = 13,738.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.