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Finding the Third Proportional to 6,827.63 and 9,268.31

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Solution

The third proportional to 6,827.63 and 9,268.31 is: 12,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.63 : 9,268.31 = 9,268.31 : x
  2. Step 2: Convert to fraction form
    6,827.63/9,268.31 = 9,268.31/x
  3. Step 3: Cross multiply
    6,827.63x = 9,268.31 × 9,268.31
  4. Step 4: Simplify right side
    6,827.63x = 85,901,616.60
  5. Step 5: Solve for x
    x = 85,901,616.60/6,827.63
  6. Step 6: Final answer
    x = 12,581.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.