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Finding the Third Proportional to 3,823.03 and 8,686.41

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Solution

The third proportional to 3,823.03 and 8,686.41 is: 19,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.03 : 8,686.41 = 8,686.41 : x
  2. Step 2: Convert to fraction form
    3,823.03/8,686.41 = 8,686.41/x
  3. Step 3: Cross multiply
    3,823.03x = 8,686.41 × 8,686.41
  4. Step 4: Simplify right side
    3,823.03x = 75,453,653.54
  5. Step 5: Solve for x
    x = 75,453,653.54/3,823.03
  6. Step 6: Final answer
    x = 19,736.60

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.