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Finding the Third Proportional to 18,524 and 40,063

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Solution

The third proportional to 18,524 and 40,063 is: 86,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524 : 40,063 = 40,063 : x
  2. Step 2: Convert to fraction form
    18,524/40,063 = 40,063/x
  3. Step 3: Cross multiply
    18,524x = 40,063 × 40,063
  4. Step 4: Simplify right side
    18,524x = 1,605,043,969
  5. Step 5: Solve for x
    x = 1,605,043,969/18,524
  6. Step 6: Final answer
    x = 86,646.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.