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Finding the Third Proportional to 18,088 and 37,328

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Solution

The third proportional to 18,088 and 37,328 is: 77,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,088 : 37,328 = 37,328 : x
  2. Step 2: Convert to fraction form
    18,088/37,328 = 37,328/x
  3. Step 3: Cross multiply
    18,088x = 37,328 × 37,328
  4. Step 4: Simplify right side
    18,088x = 1,393,379,584
  5. Step 5: Solve for x
    x = 1,393,379,584/18,088
  6. Step 6: Final answer
    x = 77,033.37

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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.