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Finding the Third Proportional to 26,839.69 and 32,185.69

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Solution

The third proportional to 26,839.69 and 32,185.69 is: 38,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839.69 : 32,185.69 = 32,185.69 : x
  2. Step 2: Convert to fraction form
    26,839.69/32,185.69 = 32,185.69/x
  3. Step 3: Cross multiply
    26,839.69x = 32,185.69 × 32,185.69
  4. Step 4: Simplify right side
    26,839.69x = 1,035,918,479.85
  5. Step 5: Solve for x
    x = 1,035,918,479.85/26,839.69
  6. Step 6: Final answer
    x = 38,596.52

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.