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Finding the Third Proportional to 34,471.83 and 81,504.67

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Solution

The third proportional to 34,471.83 and 81,504.67 is: 192,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,471.83 : 81,504.67 = 81,504.67 : x
  2. Step 2: Convert to fraction form
    34,471.83/81,504.67 = 81,504.67/x
  3. Step 3: Cross multiply
    34,471.83x = 81,504.67 × 81,504.67
  4. Step 4: Simplify right side
    34,471.83x = 6,643,010,900.70
  5. Step 5: Solve for x
    x = 6,643,010,900.70/34,471.83
  6. Step 6: Final answer
    x = 192,708.40

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.