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Finding the Third Proportional to 16,069 and 34,819

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Solution

The third proportional to 16,069 and 34,819 is: 75,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069 : 34,819 = 34,819 : x
  2. Step 2: Convert to fraction form
    16,069/34,819 = 34,819/x
  3. Step 3: Cross multiply
    16,069x = 34,819 × 34,819
  4. Step 4: Simplify right side
    16,069x = 1,212,362,761
  5. Step 5: Solve for x
    x = 1,212,362,761/16,069
  6. Step 6: Final answer
    x = 75,447.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.