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Finding the Third Proportional to 18,314 and 40,191

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Solution

The third proportional to 18,314 and 40,191 is: 88,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314 : 40,191 = 40,191 : x
  2. Step 2: Convert to fraction form
    18,314/40,191 = 40,191/x
  3. Step 3: Cross multiply
    18,314x = 40,191 × 40,191
  4. Step 4: Simplify right side
    18,314x = 1,615,316,481
  5. Step 5: Solve for x
    x = 1,615,316,481/18,314
  6. Step 6: Final answer
    x = 88,201.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.