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Finding the Third Proportional to 34,539 and 61,971

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Solution

The third proportional to 34,539 and 61,971 is: 111,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,539 : 61,971 = 61,971 : x
  2. Step 2: Convert to fraction form
    34,539/61,971 = 61,971/x
  3. Step 3: Cross multiply
    34,539x = 61,971 × 61,971
  4. Step 4: Simplify right side
    34,539x = 3,840,404,841
  5. Step 5: Solve for x
    x = 3,840,404,841/34,539
  6. Step 6: Final answer
    x = 111,190.39

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.