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Finding the Third Proportional to 36,792 and 79,986

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Solution

The third proportional to 36,792 and 79,986 is: 173,889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,792 : 79,986 = 79,986 : x
  2. Step 2: Convert to fraction form
    36,792/79,986 = 79,986/x
  3. Step 3: Cross multiply
    36,792x = 79,986 × 79,986
  4. Step 4: Simplify right side
    36,792x = 6,397,760,196
  5. Step 5: Solve for x
    x = 6,397,760,196/36,792
  6. Step 6: Final answer
    x = 173,889.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.