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Finding the Third Proportional to 17,941.17 and 38,624.34

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Solution

The third proportional to 17,941.17 and 38,624.34 is: 83,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,941.17 : 38,624.34 = 38,624.34 : x
  2. Step 2: Convert to fraction form
    17,941.17/38,624.34 = 38,624.34/x
  3. Step 3: Cross multiply
    17,941.17x = 38,624.34 × 38,624.34
  4. Step 4: Simplify right side
    17,941.17x = 1,491,839,930.12
  5. Step 5: Solve for x
    x = 1,491,839,930.12/17,941.17
  6. Step 6: Final answer
    x = 83,151.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.