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Finding the Third Proportional to 5,553.94 and 13,278.56

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Solution

The third proportional to 5,553.94 and 13,278.56 is: 31,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553.94 : 13,278.56 = 13,278.56 : x
  2. Step 2: Convert to fraction form
    5,553.94/13,278.56 = 13,278.56/x
  3. Step 3: Cross multiply
    5,553.94x = 13,278.56 × 13,278.56
  4. Step 4: Simplify right side
    5,553.94x = 176,320,222.07
  5. Step 5: Solve for x
    x = 176,320,222.07/5,553.94
  6. Step 6: Final answer
    x = 31,746.89

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.