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Finding the Third Proportional to 26,820 and 40,676

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Solution

The third proportional to 26,820 and 40,676 is: 61,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,820 : 40,676 = 40,676 : x
  2. Step 2: Convert to fraction form
    26,820/40,676 = 40,676/x
  3. Step 3: Cross multiply
    26,820x = 40,676 × 40,676
  4. Step 4: Simplify right side
    26,820x = 1,654,536,976
  5. Step 5: Solve for x
    x = 1,654,536,976/26,820
  6. Step 6: Final answer
    x = 61,690.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.