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Finding the Third Proportional to 6,192.56 and 13,615.31

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Solution

The third proportional to 6,192.56 and 13,615.31 is: 29,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.56 : 13,615.31 = 13,615.31 : x
  2. Step 2: Convert to fraction form
    6,192.56/13,615.31 = 13,615.31/x
  3. Step 3: Cross multiply
    6,192.56x = 13,615.31 × 13,615.31
  4. Step 4: Simplify right side
    6,192.56x = 185,376,734.47
  5. Step 5: Solve for x
    x = 185,376,734.47/6,192.56
  6. Step 6: Final answer
    x = 29,935.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.