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Finding the Third Proportional to 6,161.63 and 13,449.38

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Solution

The third proportional to 6,161.63 and 13,449.38 is: 29,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.63 : 13,449.38 = 13,449.38 : x
  2. Step 2: Convert to fraction form
    6,161.63/13,449.38 = 13,449.38/x
  3. Step 3: Cross multiply
    6,161.63x = 13,449.38 × 13,449.38
  4. Step 4: Simplify right side
    6,161.63x = 180,885,687.89
  5. Step 5: Solve for x
    x = 180,885,687.89/6,161.63
  6. Step 6: Final answer
    x = 29,356.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.