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Finding the Third Proportional to 11,436.75 and 18,263.81

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Solution

The third proportional to 11,436.75 and 18,263.81 is: 29,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.75 : 18,263.81 = 18,263.81 : x
  2. Step 2: Convert to fraction form
    11,436.75/18,263.81 = 18,263.81/x
  3. Step 3: Cross multiply
    11,436.75x = 18,263.81 × 18,263.81
  4. Step 4: Simplify right side
    11,436.75x = 333,566,847.04
  5. Step 5: Solve for x
    x = 333,566,847.04/11,436.75
  6. Step 6: Final answer
    x = 29,166.23

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.