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Finding the Third Proportional to 13,270 and 27,980

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Solution

The third proportional to 13,270 and 27,980 is: 58,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270 : 27,980 = 27,980 : x
  2. Step 2: Convert to fraction form
    13,270/27,980 = 27,980/x
  3. Step 3: Cross multiply
    13,270x = 27,980 × 27,980
  4. Step 4: Simplify right side
    13,270x = 782,880,400
  5. Step 5: Solve for x
    x = 782,880,400/13,270
  6. Step 6: Final answer
    x = 58,996.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.