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Finding the Third Proportional to 18,384 and 27,503.50

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Solution

The third proportional to 18,384 and 27,503.50 is: 41,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384 : 27,503.50 = 27,503.50 : x
  2. Step 2: Convert to fraction form
    18,384/27,503.50 = 27,503.50/x
  3. Step 3: Cross multiply
    18,384x = 27,503.50 × 27,503.50
  4. Step 4: Simplify right side
    18,384x = 756,442,512.25
  5. Step 5: Solve for x
    x = 756,442,512.25/18,384
  6. Step 6: Final answer
    x = 41,146.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.