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Finding the Third Proportional to 18,047 and 40,195

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Solution

The third proportional to 18,047 and 40,195 is: 89,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,047 : 40,195 = 40,195 : x
  2. Step 2: Convert to fraction form
    18,047/40,195 = 40,195/x
  3. Step 3: Cross multiply
    18,047x = 40,195 × 40,195
  4. Step 4: Simplify right side
    18,047x = 1,615,638,025
  5. Step 5: Solve for x
    x = 1,615,638,025/18,047
  6. Step 6: Final answer
    x = 89,523.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.