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Finding the Third Proportional to 17,589.66 and 38,597.34

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Solution

The third proportional to 17,589.66 and 38,597.34 is: 84,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.66 : 38,597.34 = 38,597.34 : x
  2. Step 2: Convert to fraction form
    17,589.66/38,597.34 = 38,597.34/x
  3. Step 3: Cross multiply
    17,589.66x = 38,597.34 × 38,597.34
  4. Step 4: Simplify right side
    17,589.66x = 1,489,754,944.56
  5. Step 5: Solve for x
    x = 1,489,754,944.56/17,589.66
  6. Step 6: Final answer
    x = 84,694.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.