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Finding the Third Proportional to 6,233.06 and 9,579.09

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Solution

The third proportional to 6,233.06 and 9,579.09 is: 14,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.06 : 9,579.09 = 9,579.09 : x
  2. Step 2: Convert to fraction form
    6,233.06/9,579.09 = 9,579.09/x
  3. Step 3: Cross multiply
    6,233.06x = 9,579.09 × 9,579.09
  4. Step 4: Simplify right side
    6,233.06x = 91,759,037.07
  5. Step 5: Solve for x
    x = 91,759,037.07/6,233.06
  6. Step 6: Final answer
    x = 14,721.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.