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Finding the Third Proportional to 2,289.94 and 4,876.03

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Solution

The third proportional to 2,289.94 and 4,876.03 is: 10,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.94 : 4,876.03 = 4,876.03 : x
  2. Step 2: Convert to fraction form
    2,289.94/4,876.03 = 4,876.03/x
  3. Step 3: Cross multiply
    2,289.94x = 4,876.03 × 4,876.03
  4. Step 4: Simplify right side
    2,289.94x = 23,775,680.75
  5. Step 5: Solve for x
    x = 23,775,680.75/2,289.94
  6. Step 6: Final answer
    x = 10,382.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.