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Finding the Third Proportional to 18,830 and 41,094

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Solution

The third proportional to 18,830 and 41,094 is: 89,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830 : 41,094 = 41,094 : x
  2. Step 2: Convert to fraction form
    18,830/41,094 = 41,094/x
  3. Step 3: Cross multiply
    18,830x = 41,094 × 41,094
  4. Step 4: Simplify right side
    18,830x = 1,688,716,836
  5. Step 5: Solve for x
    x = 1,688,716,836/18,830
  6. Step 6: Final answer
    x = 89,682.25

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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.