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Finding the Third Proportional to 18,770 and 41,412

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Solution

The third proportional to 18,770 and 41,412 is: 91,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,770 : 41,412 = 41,412 : x
  2. Step 2: Convert to fraction form
    18,770/41,412 = 41,412/x
  3. Step 3: Cross multiply
    18,770x = 41,412 × 41,412
  4. Step 4: Simplify right side
    18,770x = 1,714,953,744
  5. Step 5: Solve for x
    x = 1,714,953,744/18,770
  6. Step 6: Final answer
    x = 91,366.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.