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Finding the Third Proportional to 10,231.88 and 13,888.13

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Solution

The third proportional to 10,231.88 and 13,888.13 is: 18,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.88 : 13,888.13 = 13,888.13 : x
  2. Step 2: Convert to fraction form
    10,231.88/13,888.13 = 13,888.13/x
  3. Step 3: Cross multiply
    10,231.88x = 13,888.13 × 13,888.13
  4. Step 4: Simplify right side
    10,231.88x = 192,880,016.02
  5. Step 5: Solve for x
    x = 192,880,016.02/10,231.88
  6. Step 6: Final answer
    x = 18,850.90

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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.