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Finding the Third Proportional to 18,411 and 38,463

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Solution

The third proportional to 18,411 and 38,463 is: 80,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411 : 38,463 = 38,463 : x
  2. Step 2: Convert to fraction form
    18,411/38,463 = 38,463/x
  3. Step 3: Cross multiply
    18,411x = 38,463 × 38,463
  4. Step 4: Simplify right side
    18,411x = 1,479,402,369
  5. Step 5: Solve for x
    x = 1,479,402,369/18,411
  6. Step 6: Final answer
    x = 80,354.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.