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Finding the Third Proportional to 18,164.25 and 27,752.63

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Solution

The third proportional to 18,164.25 and 27,752.63 is: 42,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.25 : 27,752.63 = 27,752.63 : x
  2. Step 2: Convert to fraction form
    18,164.25/27,752.63 = 27,752.63/x
  3. Step 3: Cross multiply
    18,164.25x = 27,752.63 × 27,752.63
  4. Step 4: Simplify right side
    18,164.25x = 770,208,194.39
  5. Step 5: Solve for x
    x = 770,208,194.39/18,164.25
  6. Step 6: Final answer
    x = 42,402.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.