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Finding the Third Proportional to 18,688 and 41,017

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Solution

The third proportional to 18,688 and 41,017 is: 90,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,688 : 41,017 = 41,017 : x
  2. Step 2: Convert to fraction form
    18,688/41,017 = 41,017/x
  3. Step 3: Cross multiply
    18,688x = 41,017 × 41,017
  4. Step 4: Simplify right side
    18,688x = 1,682,394,289
  5. Step 5: Solve for x
    x = 1,682,394,289/18,688
  6. Step 6: Final answer
    x = 90,025.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.