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Finding the Third Proportional to 26,979 and 59,274

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Solution

The third proportional to 26,979 and 59,274 is: 130,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,979 : 59,274 = 59,274 : x
  2. Step 2: Convert to fraction form
    26,979/59,274 = 59,274/x
  3. Step 3: Cross multiply
    26,979x = 59,274 × 59,274
  4. Step 4: Simplify right side
    26,979x = 3,513,407,076
  5. Step 5: Solve for x
    x = 3,513,407,076/26,979
  6. Step 6: Final answer
    x = 130,227.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.