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Finding the Third Proportional to 17,795.50 and 37,787

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Solution

The third proportional to 17,795.50 and 37,787 is: 80,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,795.50 : 37,787 = 37,787 : x
  2. Step 2: Convert to fraction form
    17,795.50/37,787 = 37,787/x
  3. Step 3: Cross multiply
    17,795.50x = 37,787 × 37,787
  4. Step 4: Simplify right side
    17,795.50x = 1,427,857,369
  5. Step 5: Solve for x
    x = 1,427,857,369/17,795.50
  6. Step 6: Final answer
    x = 80,236.99

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.