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Finding the Third Proportional to 18,828 and 41,090

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Solution

The third proportional to 18,828 and 41,090 is: 89,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,828 : 41,090 = 41,090 : x
  2. Step 2: Convert to fraction form
    18,828/41,090 = 41,090/x
  3. Step 3: Cross multiply
    18,828x = 41,090 × 41,090
  4. Step 4: Simplify right side
    18,828x = 1,688,388,100
  5. Step 5: Solve for x
    x = 1,688,388,100/18,828
  6. Step 6: Final answer
    x = 89,674.32

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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.