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Finding the Third Proportional to 19,318 and 41,498

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Solution

The third proportional to 19,318 and 41,498 is: 89,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,318 : 41,498 = 41,498 : x
  2. Step 2: Convert to fraction form
    19,318/41,498 = 41,498/x
  3. Step 3: Cross multiply
    19,318x = 41,498 × 41,498
  4. Step 4: Simplify right side
    19,318x = 1,722,084,004
  5. Step 5: Solve for x
    x = 1,722,084,004/19,318
  6. Step 6: Final answer
    x = 89,144.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.