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Finding the Third Proportional to 4,223.81 and 8,743.78

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Solution

The third proportional to 4,223.81 and 8,743.78 is: 18,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.81 : 8,743.78 = 8,743.78 : x
  2. Step 2: Convert to fraction form
    4,223.81/8,743.78 = 8,743.78/x
  3. Step 3: Cross multiply
    4,223.81x = 8,743.78 × 8,743.78
  4. Step 4: Simplify right side
    4,223.81x = 76,453,710.55
  5. Step 5: Solve for x
    x = 76,453,710.55/4,223.81
  6. Step 6: Final answer
    x = 18,100.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.