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Finding the Third Proportional to 18,074 and 37,264

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Solution

The third proportional to 18,074 and 37,264 is: 76,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,074 : 37,264 = 37,264 : x
  2. Step 2: Convert to fraction form
    18,074/37,264 = 37,264/x
  3. Step 3: Cross multiply
    18,074x = 37,264 × 37,264
  4. Step 4: Simplify right side
    18,074x = 1,388,605,696
  5. Step 5: Solve for x
    x = 1,388,605,696/18,074
  6. Step 6: Final answer
    x = 76,828.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.