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Finding the Third Proportional to 11,189.81 and 15,144.47

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Solution

The third proportional to 11,189.81 and 15,144.47 is: 20,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.81 : 15,144.47 = 15,144.47 : x
  2. Step 2: Convert to fraction form
    11,189.81/15,144.47 = 15,144.47/x
  3. Step 3: Cross multiply
    11,189.81x = 15,144.47 × 15,144.47
  4. Step 4: Simplify right side
    11,189.81x = 229,354,933.72
  5. Step 5: Solve for x
    x = 229,354,933.72/11,189.81
  6. Step 6: Final answer
    x = 20,496.76

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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.