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Finding the Third Proportional to 24,927 and 34,912

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Solution

The third proportional to 24,927 and 34,912 is: 48,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927 : 34,912 = 34,912 : x
  2. Step 2: Convert to fraction form
    24,927/34,912 = 34,912/x
  3. Step 3: Cross multiply
    24,927x = 34,912 × 34,912
  4. Step 4: Simplify right side
    24,927x = 1,218,847,744
  5. Step 5: Solve for x
    x = 1,218,847,744/24,927
  6. Step 6: Final answer
    x = 48,896.69

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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.