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Finding the Third Proportional to 3,684.23 and 8,617.64

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Solution

The third proportional to 3,684.23 and 8,617.64 is: 20,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.23 : 8,617.64 = 8,617.64 : x
  2. Step 2: Convert to fraction form
    3,684.23/8,617.64 = 8,617.64/x
  3. Step 3: Cross multiply
    3,684.23x = 8,617.64 × 8,617.64
  4. Step 4: Simplify right side
    3,684.23x = 74,263,729.94
  5. Step 5: Solve for x
    x = 74,263,729.94/3,684.23
  6. Step 6: Final answer
    x = 20,157.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.