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Finding the Third Proportional to 6,154.31 and 13,231.69

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Solution

The third proportional to 6,154.31 and 13,231.69 is: 28,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.31 : 13,231.69 = 13,231.69 : x
  2. Step 2: Convert to fraction form
    6,154.31/13,231.69 = 13,231.69/x
  3. Step 3: Cross multiply
    6,154.31x = 13,231.69 × 13,231.69
  4. Step 4: Simplify right side
    6,154.31x = 175,077,554.10
  5. Step 5: Solve for x
    x = 175,077,554.10/6,154.31
  6. Step 6: Final answer
    x = 28,447.95

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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.