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Finding the Third Proportional to 18,840 and 41,051

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Solution

The third proportional to 18,840 and 41,051 is: 89,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,840 : 41,051 = 41,051 : x
  2. Step 2: Convert to fraction form
    18,840/41,051 = 41,051/x
  3. Step 3: Cross multiply
    18,840x = 41,051 × 41,051
  4. Step 4: Simplify right side
    18,840x = 1,685,184,601
  5. Step 5: Solve for x
    x = 1,685,184,601/18,840
  6. Step 6: Final answer
    x = 89,447.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.