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Finding the Third Proportional to 47,091 and 69,821

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Solution

The third proportional to 47,091 and 69,821 is: 103,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,091 : 69,821 = 69,821 : x
  2. Step 2: Convert to fraction form
    47,091/69,821 = 69,821/x
  3. Step 3: Cross multiply
    47,091x = 69,821 × 69,821
  4. Step 4: Simplify right side
    47,091x = 4,874,972,041
  5. Step 5: Solve for x
    x = 4,874,972,041/47,091
  6. Step 6: Final answer
    x = 103,522.37

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.