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Finding the Third Proportional to 34,296 and 48,042

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Solution

The third proportional to 34,296 and 48,042 is: 67,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296 : 48,042 = 48,042 : x
  2. Step 2: Convert to fraction form
    34,296/48,042 = 48,042/x
  3. Step 3: Cross multiply
    34,296x = 48,042 × 48,042
  4. Step 4: Simplify right side
    34,296x = 2,308,033,764
  5. Step 5: Solve for x
    x = 2,308,033,764/34,296
  6. Step 6: Final answer
    x = 67,297.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.