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Finding the Third Proportional to 18,814 and 41,498

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Solution

The third proportional to 18,814 and 41,498 is: 91,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,814 : 41,498 = 41,498 : x
  2. Step 2: Convert to fraction form
    18,814/41,498 = 41,498/x
  3. Step 3: Cross multiply
    18,814x = 41,498 × 41,498
  4. Step 4: Simplify right side
    18,814x = 1,722,084,004
  5. Step 5: Solve for x
    x = 1,722,084,004/18,814
  6. Step 6: Final answer
    x = 91,532.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.