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Finding the Third Proportional to 36,226 and 51,299

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Solution

The third proportional to 36,226 and 51,299 is: 72,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,226 : 51,299 = 51,299 : x
  2. Step 2: Convert to fraction form
    36,226/51,299 = 51,299/x
  3. Step 3: Cross multiply
    36,226x = 51,299 × 51,299
  4. Step 4: Simplify right side
    36,226x = 2,631,587,401
  5. Step 5: Solve for x
    x = 2,631,587,401/36,226
  6. Step 6: Final answer
    x = 72,643.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.