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Finding the Third Proportional to 19,498 and 41,322

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Solution

The third proportional to 19,498 and 41,322 is: 87,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498 : 41,322 = 41,322 : x
  2. Step 2: Convert to fraction form
    19,498/41,322 = 41,322/x
  3. Step 3: Cross multiply
    19,498x = 41,322 × 41,322
  4. Step 4: Simplify right side
    19,498x = 1,707,507,684
  5. Step 5: Solve for x
    x = 1,707,507,684/19,498
  6. Step 6: Final answer
    x = 87,573.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.