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Finding the Third Proportional to 18,042.75 and 27,752.63

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Solution

The third proportional to 18,042.75 and 27,752.63 is: 42,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.75 : 27,752.63 = 27,752.63 : x
  2. Step 2: Convert to fraction form
    18,042.75/27,752.63 = 27,752.63/x
  3. Step 3: Cross multiply
    18,042.75x = 27,752.63 × 27,752.63
  4. Step 4: Simplify right side
    18,042.75x = 770,208,194.39
  5. Step 5: Solve for x
    x = 770,208,194.39/18,042.75
  6. Step 6: Final answer
    x = 42,687.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.