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Finding the Third Proportional to 18,970 and 41,054

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Solution

The third proportional to 18,970 and 41,054 is: 88,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970 : 41,054 = 41,054 : x
  2. Step 2: Convert to fraction form
    18,970/41,054 = 41,054/x
  3. Step 3: Cross multiply
    18,970x = 41,054 × 41,054
  4. Step 4: Simplify right side
    18,970x = 1,685,430,916
  5. Step 5: Solve for x
    x = 1,685,430,916/18,970
  6. Step 6: Final answer
    x = 88,847.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.