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Finding the Third Proportional to 20,495.53 and 27,694.41

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Solution

The third proportional to 20,495.53 and 27,694.41 is: 37,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.53 : 27,694.41 = 27,694.41 : x
  2. Step 2: Convert to fraction form
    20,495.53/27,694.41 = 27,694.41/x
  3. Step 3: Cross multiply
    20,495.53x = 27,694.41 × 27,694.41
  4. Step 4: Simplify right side
    20,495.53x = 766,980,137.54
  5. Step 5: Solve for x
    x = 766,980,137.54/20,495.53
  6. Step 6: Final answer
    x = 37,421.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.