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Finding the Third Proportional to 2,224.97 and 4,829.63

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Solution

The third proportional to 2,224.97 and 4,829.63 is: 10,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.97 : 4,829.63 = 4,829.63 : x
  2. Step 2: Convert to fraction form
    2,224.97/4,829.63 = 4,829.63/x
  3. Step 3: Cross multiply
    2,224.97x = 4,829.63 × 4,829.63
  4. Step 4: Simplify right side
    2,224.97x = 23,325,277.64
  5. Step 5: Solve for x
    x = 23,325,277.64/2,224.97
  6. Step 6: Final answer
    x = 10,483.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.