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Finding the Third Proportional to 8,822 and 13,676

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Solution

The third proportional to 8,822 and 13,676 is: 21,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822 : 13,676 = 13,676 : x
  2. Step 2: Convert to fraction form
    8,822/13,676 = 13,676/x
  3. Step 3: Cross multiply
    8,822x = 13,676 × 13,676
  4. Step 4: Simplify right side
    8,822x = 187,032,976
  5. Step 5: Solve for x
    x = 187,032,976/8,822
  6. Step 6: Final answer
    x = 21,200.75

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