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Finding the Third Proportional to 43,622 and 69,186

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Solution

The third proportional to 43,622 and 69,186 is: 109,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,622 : 69,186 = 69,186 : x
  2. Step 2: Convert to fraction form
    43,622/69,186 = 69,186/x
  3. Step 3: Cross multiply
    43,622x = 69,186 × 69,186
  4. Step 4: Simplify right side
    43,622x = 4,786,702,596
  5. Step 5: Solve for x
    x = 4,786,702,596/43,622
  6. Step 6: Final answer
    x = 109,731.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.