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Finding the Third Proportional to 18,052 and 27,308

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Solution

The third proportional to 18,052 and 27,308 is: 41,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,052 : 27,308 = 27,308 : x
  2. Step 2: Convert to fraction form
    18,052/27,308 = 27,308/x
  3. Step 3: Cross multiply
    18,052x = 27,308 × 27,308
  4. Step 4: Simplify right side
    18,052x = 745,726,864
  5. Step 5: Solve for x
    x = 745,726,864/18,052
  6. Step 6: Final answer
    x = 41,309.93

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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.