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Finding the Third Proportional to 26,425 and 41,259

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Solution

The third proportional to 26,425 and 41,259 is: 64,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,425 : 41,259 = 41,259 : x
  2. Step 2: Convert to fraction form
    26,425/41,259 = 41,259/x
  3. Step 3: Cross multiply
    26,425x = 41,259 × 41,259
  4. Step 4: Simplify right side
    26,425x = 1,702,305,081
  5. Step 5: Solve for x
    x = 1,702,305,081/26,425
  6. Step 6: Final answer
    x = 64,420.25

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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.