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Finding the Third Proportional to 41,698 and 61,444

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Solution

The third proportional to 41,698 and 61,444 is: 90,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,698 : 61,444 = 61,444 : x
  2. Step 2: Convert to fraction form
    41,698/61,444 = 61,444/x
  3. Step 3: Cross multiply
    41,698x = 61,444 × 61,444
  4. Step 4: Simplify right side
    41,698x = 3,775,365,136
  5. Step 5: Solve for x
    x = 3,775,365,136/41,698
  6. Step 6: Final answer
    x = 90,540.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.