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Finding the Third Proportional to 19,010 and 44,054

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Solution

The third proportional to 19,010 and 44,054 is: 102,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,010 : 44,054 = 44,054 : x
  2. Step 2: Convert to fraction form
    19,010/44,054 = 44,054/x
  3. Step 3: Cross multiply
    19,010x = 44,054 × 44,054
  4. Step 4: Simplify right side
    19,010x = 1,940,754,916
  5. Step 5: Solve for x
    x = 1,940,754,916/19,010
  6. Step 6: Final answer
    x = 102,091.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.