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Finding the Third Proportional to 13,004 and 18,980

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Solution

The third proportional to 13,004 and 18,980 is: 27,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004 : 18,980 = 18,980 : x
  2. Step 2: Convert to fraction form
    13,004/18,980 = 18,980/x
  3. Step 3: Cross multiply
    13,004x = 18,980 × 18,980
  4. Step 4: Simplify right side
    13,004x = 360,240,400
  5. Step 5: Solve for x
    x = 360,240,400/13,004
  6. Step 6: Final answer
    x = 27,702.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.