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Finding the Third Proportional to 44,802 and 66,771

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Solution

The third proportional to 44,802 and 66,771 is: 99,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,802 : 66,771 = 66,771 : x
  2. Step 2: Convert to fraction form
    44,802/66,771 = 66,771/x
  3. Step 3: Cross multiply
    44,802x = 66,771 × 66,771
  4. Step 4: Simplify right side
    44,802x = 4,458,366,441
  5. Step 5: Solve for x
    x = 4,458,366,441/44,802
  6. Step 6: Final answer
    x = 99,512.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.