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Finding the Third Proportional to 6,419.25 and 13,796.63

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Solution

The third proportional to 6,419.25 and 13,796.63 is: 29,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.25 : 13,796.63 = 13,796.63 : x
  2. Step 2: Convert to fraction form
    6,419.25/13,796.63 = 13,796.63/x
  3. Step 3: Cross multiply
    6,419.25x = 13,796.63 × 13,796.63
  4. Step 4: Simplify right side
    6,419.25x = 190,346,861.39
  5. Step 5: Solve for x
    x = 190,346,861.39/6,419.25
  6. Step 6: Final answer
    x = 29,652.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.