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Finding the Third Proportional to 18,014 and 37,411

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Solution

The third proportional to 18,014 and 37,411 is: 77,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,014 : 37,411 = 37,411 : x
  2. Step 2: Convert to fraction form
    18,014/37,411 = 37,411/x
  3. Step 3: Cross multiply
    18,014x = 37,411 × 37,411
  4. Step 4: Simplify right side
    18,014x = 1,399,582,921
  5. Step 5: Solve for x
    x = 1,399,582,921/18,014
  6. Step 6: Final answer
    x = 77,694.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.