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Finding the Third Proportional to 33,427.50 and 44,372.25

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Solution

The third proportional to 33,427.50 and 44,372.25 is: 58,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,427.50 : 44,372.25 = 44,372.25 : x
  2. Step 2: Convert to fraction form
    33,427.50/44,372.25 = 44,372.25/x
  3. Step 3: Cross multiply
    33,427.50x = 44,372.25 × 44,372.25
  4. Step 4: Simplify right side
    33,427.50x = 1,968,896,570.06
  5. Step 5: Solve for x
    x = 1,968,896,570.06/33,427.50
  6. Step 6: Final answer
    x = 58,900.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.