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Finding the Third Proportional to 26,968 and 31,912

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Solution

The third proportional to 26,968 and 31,912 is: 37,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,968 : 31,912 = 31,912 : x
  2. Step 2: Convert to fraction form
    26,968/31,912 = 31,912/x
  3. Step 3: Cross multiply
    26,968x = 31,912 × 31,912
  4. Step 4: Simplify right side
    26,968x = 1,018,375,744
  5. Step 5: Solve for x
    x = 1,018,375,744/26,968
  6. Step 6: Final answer
    x = 37,762.38

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.