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Finding the Third Proportional to 2,356.26 and 4,906.33

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Solution

The third proportional to 2,356.26 and 4,906.33 is: 10,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.26 : 4,906.33 = 4,906.33 : x
  2. Step 2: Convert to fraction form
    2,356.26/4,906.33 = 4,906.33/x
  3. Step 3: Cross multiply
    2,356.26x = 4,906.33 × 4,906.33
  4. Step 4: Simplify right side
    2,356.26x = 24,072,110.77
  5. Step 5: Solve for x
    x = 24,072,110.77/2,356.26
  6. Step 6: Final answer
    x = 10,216.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.