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Finding the Third Proportional to 2,236.78 and 4,795.03

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Solution

The third proportional to 2,236.78 and 4,795.03 is: 10,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.78 : 4,795.03 = 4,795.03 : x
  2. Step 2: Convert to fraction form
    2,236.78/4,795.03 = 4,795.03/x
  3. Step 3: Cross multiply
    2,236.78x = 4,795.03 × 4,795.03
  4. Step 4: Simplify right side
    2,236.78x = 22,992,324.69
  5. Step 5: Solve for x
    x = 22,992,324.69/2,236.78
  6. Step 6: Final answer
    x = 10,279.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.