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Finding the Third Proportional to 26,634 and 41,406

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Solution

The third proportional to 26,634 and 41,406 is: 64,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,634 : 41,406 = 41,406 : x
  2. Step 2: Convert to fraction form
    26,634/41,406 = 41,406/x
  3. Step 3: Cross multiply
    26,634x = 41,406 × 41,406
  4. Step 4: Simplify right side
    26,634x = 1,714,456,836
  5. Step 5: Solve for x
    x = 1,714,456,836/26,634
  6. Step 6: Final answer
    x = 64,370.99

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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.