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Finding the Third Proportional to 18,960 and 40,827

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Solution

The third proportional to 18,960 and 40,827 is: 87,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,960 : 40,827 = 40,827 : x
  2. Step 2: Convert to fraction form
    18,960/40,827 = 40,827/x
  3. Step 3: Cross multiply
    18,960x = 40,827 × 40,827
  4. Step 4: Simplify right side
    18,960x = 1,666,843,929
  5. Step 5: Solve for x
    x = 1,666,843,929/18,960
  6. Step 6: Final answer
    x = 87,913.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.