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Finding the Third Proportional to 1,804.50 and 4,745.25

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Solution

The third proportional to 1,804.50 and 4,745.25 is: 12,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.50 : 4,745.25 = 4,745.25 : x
  2. Step 2: Convert to fraction form
    1,804.50/4,745.25 = 4,745.25/x
  3. Step 3: Cross multiply
    1,804.50x = 4,745.25 × 4,745.25
  4. Step 4: Simplify right side
    1,804.50x = 22,517,397.56
  5. Step 5: Solve for x
    x = 22,517,397.56/1,804.50
  6. Step 6: Final answer
    x = 12,478.47

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.