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Finding the Third Proportional to 9,086 and 12,863

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Solution

The third proportional to 9,086 and 12,863 is: 18,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086 : 12,863 = 12,863 : x
  2. Step 2: Convert to fraction form
    9,086/12,863 = 12,863/x
  3. Step 3: Cross multiply
    9,086x = 12,863 × 12,863
  4. Step 4: Simplify right side
    9,086x = 165,456,769
  5. Step 5: Solve for x
    x = 165,456,769/9,086
  6. Step 6: Final answer
    x = 18,210.08

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.