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Finding the Third Proportional to 43,033.50 and 66,471.75

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Solution

The third proportional to 43,033.50 and 66,471.75 is: 102,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,033.50 : 66,471.75 = 66,471.75 : x
  2. Step 2: Convert to fraction form
    43,033.50/66,471.75 = 66,471.75/x
  3. Step 3: Cross multiply
    43,033.50x = 66,471.75 × 66,471.75
  4. Step 4: Simplify right side
    43,033.50x = 4,418,493,548.06
  5. Step 5: Solve for x
    x = 4,418,493,548.06/43,033.50
  6. Step 6: Final answer
    x = 102,675.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.