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Finding the Third Proportional to 18,912 and 41,097

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Solution

The third proportional to 18,912 and 41,097 is: 89,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,912 : 41,097 = 41,097 : x
  2. Step 2: Convert to fraction form
    18,912/41,097 = 41,097/x
  3. Step 3: Cross multiply
    18,912x = 41,097 × 41,097
  4. Step 4: Simplify right side
    18,912x = 1,688,963,409
  5. Step 5: Solve for x
    x = 1,688,963,409/18,912
  6. Step 6: Final answer
    x = 89,306.44

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Why These Related Problems?

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