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Finding the Third Proportional to 25,738 and 36,054

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Solution

The third proportional to 25,738 and 36,054 is: 50,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738 : 36,054 = 36,054 : x
  2. Step 2: Convert to fraction form
    25,738/36,054 = 36,054/x
  3. Step 3: Cross multiply
    25,738x = 36,054 × 36,054
  4. Step 4: Simplify right side
    25,738x = 1,299,890,916
  5. Step 5: Solve for x
    x = 1,299,890,916/25,738
  6. Step 6: Final answer
    x = 50,504.74

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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.