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Finding the Third Proportional to 12,821 and 27,829

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Solution

The third proportional to 12,821 and 27,829 is: 60,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821 : 27,829 = 27,829 : x
  2. Step 2: Convert to fraction form
    12,821/27,829 = 27,829/x
  3. Step 3: Cross multiply
    12,821x = 27,829 × 27,829
  4. Step 4: Simplify right side
    12,821x = 774,453,241
  5. Step 5: Solve for x
    x = 774,453,241/12,821
  6. Step 6: Final answer
    x = 60,405.06

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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.