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Finding the Third Proportional to 17,811.38 and 27,795

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Solution

The third proportional to 17,811.38 and 27,795 is: 43,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.38 : 27,795 = 27,795 : x
  2. Step 2: Convert to fraction form
    17,811.38/27,795 = 27,795/x
  3. Step 3: Cross multiply
    17,811.38x = 27,795 × 27,795
  4. Step 4: Simplify right side
    17,811.38x = 772,562,025
  5. Step 5: Solve for x
    x = 772,562,025/17,811.38
  6. Step 6: Final answer
    x = 43,374.64

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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.