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Finding the Third Proportional to 43,803 and 68,635

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Solution

The third proportional to 43,803 and 68,635 is: 107,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,803 : 68,635 = 68,635 : x
  2. Step 2: Convert to fraction form
    43,803/68,635 = 68,635/x
  3. Step 3: Cross multiply
    43,803x = 68,635 × 68,635
  4. Step 4: Simplify right side
    43,803x = 4,710,763,225
  5. Step 5: Solve for x
    x = 4,710,763,225/43,803
  6. Step 6: Final answer
    x = 107,544.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.