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Finding the Third Proportional to 18,816 and 41,088

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Solution

The third proportional to 18,816 and 41,088 is: 89,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,816 : 41,088 = 41,088 : x
  2. Step 2: Convert to fraction form
    18,816/41,088 = 41,088/x
  3. Step 3: Cross multiply
    18,816x = 41,088 × 41,088
  4. Step 4: Simplify right side
    18,816x = 1,688,223,744
  5. Step 5: Solve for x
    x = 1,688,223,744/18,816
  6. Step 6: Final answer
    x = 89,722.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.