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Finding the Third Proportional to 18,856 and 40,994

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Solution

The third proportional to 18,856 and 40,994 is: 89,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,856 : 40,994 = 40,994 : x
  2. Step 2: Convert to fraction form
    18,856/40,994 = 40,994/x
  3. Step 3: Cross multiply
    18,856x = 40,994 × 40,994
  4. Step 4: Simplify right side
    18,856x = 1,680,508,036
  5. Step 5: Solve for x
    x = 1,680,508,036/18,856
  6. Step 6: Final answer
    x = 89,123.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.