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Finding the Third Proportional to 8,828 and 13,678

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Solution

The third proportional to 8,828 and 13,678 is: 21,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828 : 13,678 = 13,678 : x
  2. Step 2: Convert to fraction form
    8,828/13,678 = 13,678/x
  3. Step 3: Cross multiply
    8,828x = 13,678 × 13,678
  4. Step 4: Simplify right side
    8,828x = 187,087,684
  5. Step 5: Solve for x
    x = 187,087,684/8,828
  6. Step 6: Final answer
    x = 21,192.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.