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Finding the Third Proportional to 26,979 and 63,012

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Solution

The third proportional to 26,979 and 63,012 is: 147,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,979 : 63,012 = 63,012 : x
  2. Step 2: Convert to fraction form
    26,979/63,012 = 63,012/x
  3. Step 3: Cross multiply
    26,979x = 63,012 × 63,012
  4. Step 4: Simplify right side
    26,979x = 3,970,512,144
  5. Step 5: Solve for x
    x = 3,970,512,144/26,979
  6. Step 6: Final answer
    x = 147,170.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.