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Finding the Third Proportional to 18,276 and 37,320

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Solution

The third proportional to 18,276 and 37,320 is: 76,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,276 : 37,320 = 37,320 : x
  2. Step 2: Convert to fraction form
    18,276/37,320 = 37,320/x
  3. Step 3: Cross multiply
    18,276x = 37,320 × 37,320
  4. Step 4: Simplify right side
    18,276x = 1,392,782,400
  5. Step 5: Solve for x
    x = 1,392,782,400/18,276
  6. Step 6: Final answer
    x = 76,208.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.