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Finding the Third Proportional to 19,189 and 41,130

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Solution

The third proportional to 19,189 and 41,130 is: 88,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189 : 41,130 = 41,130 : x
  2. Step 2: Convert to fraction form
    19,189/41,130 = 41,130/x
  3. Step 3: Cross multiply
    19,189x = 41,130 × 41,130
  4. Step 4: Simplify right side
    19,189x = 1,691,676,900
  5. Step 5: Solve for x
    x = 1,691,676,900/19,189
  6. Step 6: Final answer
    x = 88,158.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.