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Finding the Third Proportional to 12,982 and 27,828

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Solution

The third proportional to 12,982 and 27,828 is: 59,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982 : 27,828 = 27,828 : x
  2. Step 2: Convert to fraction form
    12,982/27,828 = 27,828/x
  3. Step 3: Cross multiply
    12,982x = 27,828 × 27,828
  4. Step 4: Simplify right side
    12,982x = 774,397,584
  5. Step 5: Solve for x
    x = 774,397,584/12,982
  6. Step 6: Final answer
    x = 59,651.64

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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.