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Finding the Third Proportional to 20,152 and 27,054

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Solution

The third proportional to 20,152 and 27,054 is: 36,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152 : 27,054 = 27,054 : x
  2. Step 2: Convert to fraction form
    20,152/27,054 = 27,054/x
  3. Step 3: Cross multiply
    20,152x = 27,054 × 27,054
  4. Step 4: Simplify right side
    20,152x = 731,918,916
  5. Step 5: Solve for x
    x = 731,918,916/20,152
  6. Step 6: Final answer
    x = 36,319.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.