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Finding the Third Proportional to 19,121 and 41,770

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Solution

The third proportional to 19,121 and 41,770 is: 91,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,121 : 41,770 = 41,770 : x
  2. Step 2: Convert to fraction form
    19,121/41,770 = 41,770/x
  3. Step 3: Cross multiply
    19,121x = 41,770 × 41,770
  4. Step 4: Simplify right side
    19,121x = 1,744,732,900
  5. Step 5: Solve for x
    x = 1,744,732,900/19,121
  6. Step 6: Final answer
    x = 91,246.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.