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Finding the Third Proportional to 25,012 and 52,936

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Solution

The third proportional to 25,012 and 52,936 is: 112,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,012 : 52,936 = 52,936 : x
  2. Step 2: Convert to fraction form
    25,012/52,936 = 52,936/x
  3. Step 3: Cross multiply
    25,012x = 52,936 × 52,936
  4. Step 4: Simplify right side
    25,012x = 2,802,220,096
  5. Step 5: Solve for x
    x = 2,802,220,096/25,012
  6. Step 6: Final answer
    x = 112,035.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.