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Finding the Third Proportional to 20,682.84 and 27,218.53

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Solution

The third proportional to 20,682.84 and 27,218.53 is: 35,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.84 : 27,218.53 = 27,218.53 : x
  2. Step 2: Convert to fraction form
    20,682.84/27,218.53 = 27,218.53/x
  3. Step 3: Cross multiply
    20,682.84x = 27,218.53 × 27,218.53
  4. Step 4: Simplify right side
    20,682.84x = 740,848,443.41
  5. Step 5: Solve for x
    x = 740,848,443.41/20,682.84
  6. Step 6: Final answer
    x = 35,819.47

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.