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Finding the Third Proportional to 2,229.75 and 4,884.75

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Solution

The third proportional to 2,229.75 and 4,884.75 is: 10,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.75 : 4,884.75 = 4,884.75 : x
  2. Step 2: Convert to fraction form
    2,229.75/4,884.75 = 4,884.75/x
  3. Step 3: Cross multiply
    2,229.75x = 4,884.75 × 4,884.75
  4. Step 4: Simplify right side
    2,229.75x = 23,860,782.56
  5. Step 5: Solve for x
    x = 23,860,782.56/2,229.75
  6. Step 6: Final answer
    x = 10,701.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.