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Finding the Third Proportional to 17,617.50 and 25,803.56

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Solution

The third proportional to 17,617.50 and 25,803.56 is: 37,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.50 : 25,803.56 = 25,803.56 : x
  2. Step 2: Convert to fraction form
    17,617.50/25,803.56 = 25,803.56/x
  3. Step 3: Cross multiply
    17,617.50x = 25,803.56 × 25,803.56
  4. Step 4: Simplify right side
    17,617.50x = 665,823,837.69
  5. Step 5: Solve for x
    x = 665,823,837.69/17,617.50
  6. Step 6: Final answer
    x = 37,793.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.