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Finding the Third Proportional to 34,623 and 51,975

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Solution

The third proportional to 34,623 and 51,975 is: 78,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,623 : 51,975 = 51,975 : x
  2. Step 2: Convert to fraction form
    34,623/51,975 = 51,975/x
  3. Step 3: Cross multiply
    34,623x = 51,975 × 51,975
  4. Step 4: Simplify right side
    34,623x = 2,701,400,625
  5. Step 5: Solve for x
    x = 2,701,400,625/34,623
  6. Step 6: Final answer
    x = 78,023.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.