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Finding the Third Proportional to 2,104.50 and 4,796.25

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Solution

The third proportional to 2,104.50 and 4,796.25 is: 10,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.50 : 4,796.25 = 4,796.25 : x
  2. Step 2: Convert to fraction form
    2,104.50/4,796.25 = 4,796.25/x
  3. Step 3: Cross multiply
    2,104.50x = 4,796.25 × 4,796.25
  4. Step 4: Simplify right side
    2,104.50x = 23,004,014.06
  5. Step 5: Solve for x
    x = 23,004,014.06/2,104.50
  6. Step 6: Final answer
    x = 10,930.87

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.