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Finding the Third Proportional to 6,579.75 and 14,804.25

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Solution

The third proportional to 6,579.75 and 14,804.25 is: 33,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.75 : 14,804.25 = 14,804.25 : x
  2. Step 2: Convert to fraction form
    6,579.75/14,804.25 = 14,804.25/x
  3. Step 3: Cross multiply
    6,579.75x = 14,804.25 × 14,804.25
  4. Step 4: Simplify right side
    6,579.75x = 219,165,818.06
  5. Step 5: Solve for x
    x = 219,165,818.06/6,579.75
  6. Step 6: Final answer
    x = 33,309.14

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.