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Finding the Third Proportional to 18,825.75 and 41,085.56

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Solution

The third proportional to 18,825.75 and 41,085.56 is: 89,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825.75 : 41,085.56 = 41,085.56 : x
  2. Step 2: Convert to fraction form
    18,825.75/41,085.56 = 41,085.56/x
  3. Step 3: Cross multiply
    18,825.75x = 41,085.56 × 41,085.56
  4. Step 4: Simplify right side
    18,825.75x = 1,688,023,445.94
  5. Step 5: Solve for x
    x = 1,688,023,445.94/18,825.75
  6. Step 6: Final answer
    x = 89,665.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.