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Finding the Third Proportional to 26,530 and 41,410

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Solution

The third proportional to 26,530 and 41,410 is: 64,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530 : 41,410 = 41,410 : x
  2. Step 2: Convert to fraction form
    26,530/41,410 = 41,410/x
  3. Step 3: Cross multiply
    26,530x = 41,410 × 41,410
  4. Step 4: Simplify right side
    26,530x = 1,714,788,100
  5. Step 5: Solve for x
    x = 1,714,788,100/26,530
  6. Step 6: Final answer
    x = 64,635.81

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Why These Related Problems?

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