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Finding the Third Proportional to 33,261.75 and 71,444.25

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Solution

The third proportional to 33,261.75 and 71,444.25 is: 153,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261.75 : 71,444.25 = 71,444.25 : x
  2. Step 2: Convert to fraction form
    33,261.75/71,444.25 = 71,444.25/x
  3. Step 3: Cross multiply
    33,261.75x = 71,444.25 × 71,444.25
  4. Step 4: Simplify right side
    33,261.75x = 5,104,280,858.06
  5. Step 5: Solve for x
    x = 5,104,280,858.06/33,261.75
  6. Step 6: Final answer
    x = 153,457.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.