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Finding the Third Proportional to 36,226 and 76,813

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Solution

The third proportional to 36,226 and 76,813 is: 162,872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,226 : 76,813 = 76,813 : x
  2. Step 2: Convert to fraction form
    36,226/76,813 = 76,813/x
  3. Step 3: Cross multiply
    36,226x = 76,813 × 76,813
  4. Step 4: Simplify right side
    36,226x = 5,900,236,969
  5. Step 5: Solve for x
    x = 5,900,236,969/36,226
  6. Step 6: Final answer
    x = 162,872.99

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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.