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Finding the Third Proportional to 41,678 and 59,556

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Solution

The third proportional to 41,678 and 59,556 is: 85,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678 : 59,556 = 59,556 : x
  2. Step 2: Convert to fraction form
    41,678/59,556 = 59,556/x
  3. Step 3: Cross multiply
    41,678x = 59,556 × 59,556
  4. Step 4: Simplify right side
    41,678x = 3,546,917,136
  5. Step 5: Solve for x
    x = 3,546,917,136/41,678
  6. Step 6: Final answer
    x = 85,102.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.