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Finding the Third Proportional to 26,026 and 41,170

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Solution

The third proportional to 26,026 and 41,170 is: 65,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,026 : 41,170 = 41,170 : x
  2. Step 2: Convert to fraction form
    26,026/41,170 = 41,170/x
  3. Step 3: Cross multiply
    26,026x = 41,170 × 41,170
  4. Step 4: Simplify right side
    26,026x = 1,694,968,900
  5. Step 5: Solve for x
    x = 1,694,968,900/26,026
  6. Step 6: Final answer
    x = 65,125.99

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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.