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Finding the Third Proportional to 18,916 and 41,146

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Solution

The third proportional to 18,916 and 41,146 is: 89,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,916 : 41,146 = 41,146 : x
  2. Step 2: Convert to fraction form
    18,916/41,146 = 41,146/x
  3. Step 3: Cross multiply
    18,916x = 41,146 × 41,146
  4. Step 4: Simplify right side
    18,916x = 1,692,993,316
  5. Step 5: Solve for x
    x = 1,692,993,316/18,916
  6. Step 6: Final answer
    x = 89,500.60

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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.