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Finding the Third Proportional to 11,346.19 and 18,020.81

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Solution

The third proportional to 11,346.19 and 18,020.81 is: 28,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.19 : 18,020.81 = 18,020.81 : x
  2. Step 2: Convert to fraction form
    11,346.19/18,020.81 = 18,020.81/x
  3. Step 3: Cross multiply
    11,346.19x = 18,020.81 × 18,020.81
  4. Step 4: Simplify right side
    11,346.19x = 324,749,683.16
  5. Step 5: Solve for x
    x = 324,749,683.16/11,346.19
  6. Step 6: Final answer
    x = 28,621.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.