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Finding the Third Proportional to 25,094 and 36,698

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Solution

The third proportional to 25,094 and 36,698 is: 53,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094 : 36,698 = 36,698 : x
  2. Step 2: Convert to fraction form
    25,094/36,698 = 36,698/x
  3. Step 3: Cross multiply
    25,094x = 36,698 × 36,698
  4. Step 4: Simplify right side
    25,094x = 1,346,743,204
  5. Step 5: Solve for x
    x = 1,346,743,204/25,094
  6. Step 6: Final answer
    x = 53,667.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.