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Finding the Third Proportional to 1,804.50 and 3,305.25

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Solution

The third proportional to 1,804.50 and 3,305.25 is: 6,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.50 : 3,305.25 = 3,305.25 : x
  2. Step 2: Convert to fraction form
    1,804.50/3,305.25 = 3,305.25/x
  3. Step 3: Cross multiply
    1,804.50x = 3,305.25 × 3,305.25
  4. Step 4: Simplify right side
    1,804.50x = 10,924,677.56
  5. Step 5: Solve for x
    x = 10,924,677.56/1,804.50
  6. Step 6: Final answer
    x = 6,054.13

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.