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Finding the Third Proportional to 26,170 and 34,826

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Solution

The third proportional to 26,170 and 34,826 is: 46,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,170 : 34,826 = 34,826 : x
  2. Step 2: Convert to fraction form
    26,170/34,826 = 34,826/x
  3. Step 3: Cross multiply
    26,170x = 34,826 × 34,826
  4. Step 4: Simplify right side
    26,170x = 1,212,850,276
  5. Step 5: Solve for x
    x = 1,212,850,276/26,170
  6. Step 6: Final answer
    x = 46,345.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.