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Finding the Third Proportional to 5,635.69 and 12,052.97

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Solution

The third proportional to 5,635.69 and 12,052.97 is: 25,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.69 : 12,052.97 = 12,052.97 : x
  2. Step 2: Convert to fraction form
    5,635.69/12,052.97 = 12,052.97/x
  3. Step 3: Cross multiply
    5,635.69x = 12,052.97 × 12,052.97
  4. Step 4: Simplify right side
    5,635.69x = 145,274,055.69
  5. Step 5: Solve for x
    x = 145,274,055.69/5,635.69
  6. Step 6: Final answer
    x = 25,777.52

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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.