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Finding the Third Proportional to 18,462 and 27,885

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Solution

The third proportional to 18,462 and 27,885 is: 42,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462 : 27,885 = 27,885 : x
  2. Step 2: Convert to fraction form
    18,462/27,885 = 27,885/x
  3. Step 3: Cross multiply
    18,462x = 27,885 × 27,885
  4. Step 4: Simplify right side
    18,462x = 777,573,225
  5. Step 5: Solve for x
    x = 777,573,225/18,462
  6. Step 6: Final answer
    x = 42,117.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.