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Finding the Third Proportional to 2,228.06 and 4,849.31

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Solution

The third proportional to 2,228.06 and 4,849.31 is: 10,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.06 : 4,849.31 = 4,849.31 : x
  2. Step 2: Convert to fraction form
    2,228.06/4,849.31 = 4,849.31/x
  3. Step 3: Cross multiply
    2,228.06x = 4,849.31 × 4,849.31
  4. Step 4: Simplify right side
    2,228.06x = 23,515,831.72
  5. Step 5: Solve for x
    x = 23,515,831.72/2,228.06
  6. Step 6: Final answer
    x = 10,554.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.