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Finding the Third Proportional to 26,972 and 55,040

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Solution

The third proportional to 26,972 and 55,040 is: 112,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972 : 55,040 = 55,040 : x
  2. Step 2: Convert to fraction form
    26,972/55,040 = 55,040/x
  3. Step 3: Cross multiply
    26,972x = 55,040 × 55,040
  4. Step 4: Simplify right side
    26,972x = 3,029,401,600
  5. Step 5: Solve for x
    x = 3,029,401,600/26,972
  6. Step 6: Final answer
    x = 112,316.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.