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Finding the Third Proportional to 26,982 and 41,931

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Solution

The third proportional to 26,982 and 41,931 is: 65,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982 : 41,931 = 41,931 : x
  2. Step 2: Convert to fraction form
    26,982/41,931 = 41,931/x
  3. Step 3: Cross multiply
    26,982x = 41,931 × 41,931
  4. Step 4: Simplify right side
    26,982x = 1,758,208,761
  5. Step 5: Solve for x
    x = 1,758,208,761/26,982
  6. Step 6: Final answer
    x = 65,162.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.