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Finding the Third Proportional to 36,274 and 76,898

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Solution

The third proportional to 36,274 and 76,898 is: 163,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,274 : 76,898 = 76,898 : x
  2. Step 2: Convert to fraction form
    36,274/76,898 = 76,898/x
  3. Step 3: Cross multiply
    36,274x = 76,898 × 76,898
  4. Step 4: Simplify right side
    36,274x = 5,913,302,404
  5. Step 5: Solve for x
    x = 5,913,302,404/36,274
  6. Step 6: Final answer
    x = 163,017.65

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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.