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Finding the Third Proportional to 18,209 and 27,480

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Solution

The third proportional to 18,209 and 27,480 is: 41,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209 : 27,480 = 27,480 : x
  2. Step 2: Convert to fraction form
    18,209/27,480 = 27,480/x
  3. Step 3: Cross multiply
    18,209x = 27,480 × 27,480
  4. Step 4: Simplify right side
    18,209x = 755,150,400
  5. Step 5: Solve for x
    x = 755,150,400/18,209
  6. Step 6: Final answer
    x = 41,471.27

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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.