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Finding the Third Proportional to 12,954.94 and 27,755.16

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Solution

The third proportional to 12,954.94 and 27,755.16 is: 59,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.94 : 27,755.16 = 27,755.16 : x
  2. Step 2: Convert to fraction form
    12,954.94/27,755.16 = 27,755.16/x
  3. Step 3: Cross multiply
    12,954.94x = 27,755.16 × 27,755.16
  4. Step 4: Simplify right side
    12,954.94x = 770,348,698.46
  5. Step 5: Solve for x
    x = 770,348,698.46/12,954.94
  6. Step 6: Final answer
    x = 59,463.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.