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Finding the Third Proportional to 17,647.88 and 38,621.81

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Solution

The third proportional to 17,647.88 and 38,621.81 is: 84,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.88 : 38,621.81 = 38,621.81 : x
  2. Step 2: Convert to fraction form
    17,647.88/38,621.81 = 38,621.81/x
  3. Step 3: Cross multiply
    17,647.88x = 38,621.81 × 38,621.81
  4. Step 4: Simplify right side
    17,647.88x = 1,491,644,400.79
  5. Step 5: Solve for x
    x = 1,491,644,400.79/17,647.88
  6. Step 6: Final answer
    x = 84,522.61

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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.