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Finding the Third Proportional to 23,082.75 and 33,063.75

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Solution

The third proportional to 23,082.75 and 33,063.75 is: 47,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.75 : 33,063.75 = 33,063.75 : x
  2. Step 2: Convert to fraction form
    23,082.75/33,063.75 = 33,063.75/x
  3. Step 3: Cross multiply
    23,082.75x = 33,063.75 × 33,063.75
  4. Step 4: Simplify right side
    23,082.75x = 1,093,211,564.06
  5. Step 5: Solve for x
    x = 1,093,211,564.06/23,082.75
  6. Step 6: Final answer
    x = 47,360.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.