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Finding the Third Proportional to 33,085.50 and 73,083

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Solution

The third proportional to 33,085.50 and 73,083 is: 161,434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.50 : 73,083 = 73,083 : x
  2. Step 2: Convert to fraction form
    33,085.50/73,083 = 73,083/x
  3. Step 3: Cross multiply
    33,085.50x = 73,083 × 73,083
  4. Step 4: Simplify right side
    33,085.50x = 5,341,124,889
  5. Step 5: Solve for x
    x = 5,341,124,889/33,085.50
  6. Step 6: Final answer
    x = 161,434.01

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.