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Finding the Third Proportional to 36,828 and 78,828

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Solution

The third proportional to 36,828 and 78,828 is: 168,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,828 : 78,828 = 78,828 : x
  2. Step 2: Convert to fraction form
    36,828/78,828 = 78,828/x
  3. Step 3: Cross multiply
    36,828x = 78,828 × 78,828
  4. Step 4: Simplify right side
    36,828x = 6,213,853,584
  5. Step 5: Solve for x
    x = 6,213,853,584/36,828
  6. Step 6: Final answer
    x = 168,726.34

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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.