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Finding the Third Proportional to 19,342 and 41,825

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Solution

The third proportional to 19,342 and 41,825 is: 90,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,342 : 41,825 = 41,825 : x
  2. Step 2: Convert to fraction form
    19,342/41,825 = 41,825/x
  3. Step 3: Cross multiply
    19,342x = 41,825 × 41,825
  4. Step 4: Simplify right side
    19,342x = 1,749,330,625
  5. Step 5: Solve for x
    x = 1,749,330,625/19,342
  6. Step 6: Final answer
    x = 90,442.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.