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Finding the Third Proportional to 36,792 and 78,768

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Solution

The third proportional to 36,792 and 78,768 is: 168,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,792 : 78,768 = 78,768 : x
  2. Step 2: Convert to fraction form
    36,792/78,768 = 78,768/x
  3. Step 3: Cross multiply
    36,792x = 78,768 × 78,768
  4. Step 4: Simplify right side
    36,792x = 6,204,397,824
  5. Step 5: Solve for x
    x = 6,204,397,824/36,792
  6. Step 6: Final answer
    x = 168,634.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.