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Finding the Third Proportional to 43,795.50 and 66,978

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Solution

The third proportional to 43,795.50 and 66,978 is: 102,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,795.50 : 66,978 = 66,978 : x
  2. Step 2: Convert to fraction form
    43,795.50/66,978 = 66,978/x
  3. Step 3: Cross multiply
    43,795.50x = 66,978 × 66,978
  4. Step 4: Simplify right side
    43,795.50x = 4,486,052,484
  5. Step 5: Solve for x
    x = 4,486,052,484/43,795.50
  6. Step 6: Final answer
    x = 102,431.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.