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Finding the Third Proportional to 10,226.81 and 13,811.06

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Solution

The third proportional to 10,226.81 and 13,811.06 is: 18,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.81 : 13,811.06 = 13,811.06 : x
  2. Step 2: Convert to fraction form
    10,226.81/13,811.06 = 13,811.06/x
  3. Step 3: Cross multiply
    10,226.81x = 13,811.06 × 13,811.06
  4. Step 4: Simplify right side
    10,226.81x = 190,745,447.38
  5. Step 5: Solve for x
    x = 190,745,447.38/10,226.81
  6. Step 6: Final answer
    x = 18,651.51

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.