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Finding the Third Proportional to 26,761 and 41,673

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Solution

The third proportional to 26,761 and 41,673 is: 64,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,761 : 41,673 = 41,673 : x
  2. Step 2: Convert to fraction form
    26,761/41,673 = 41,673/x
  3. Step 3: Cross multiply
    26,761x = 41,673 × 41,673
  4. Step 4: Simplify right side
    26,761x = 1,736,638,929
  5. Step 5: Solve for x
    x = 1,736,638,929/26,761
  6. Step 6: Final answer
    x = 64,894.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.