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Finding the Third Proportional to 26,965 and 40,825

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Solution

The third proportional to 26,965 and 40,825 is: 61,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965 : 40,825 = 40,825 : x
  2. Step 2: Convert to fraction form
    26,965/40,825 = 40,825/x
  3. Step 3: Cross multiply
    26,965x = 40,825 × 40,825
  4. Step 4: Simplify right side
    26,965x = 1,666,680,625
  5. Step 5: Solve for x
    x = 1,666,680,625/26,965
  6. Step 6: Final answer
    x = 61,809.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.