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Finding the Third Proportional to 26,321 and 41,674

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Solution

The third proportional to 26,321 and 41,674 is: 65,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,321 : 41,674 = 41,674 : x
  2. Step 2: Convert to fraction form
    26,321/41,674 = 41,674/x
  3. Step 3: Cross multiply
    26,321x = 41,674 × 41,674
  4. Step 4: Simplify right side
    26,321x = 1,736,722,276
  5. Step 5: Solve for x
    x = 1,736,722,276/26,321
  6. Step 6: Final answer
    x = 65,982.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.