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Finding the Third Proportional to 4,663.13 and 10,738.97

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Solution

The third proportional to 4,663.13 and 10,738.97 is: 24,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.13 : 10,738.97 = 10,738.97 : x
  2. Step 2: Convert to fraction form
    4,663.13/10,738.97 = 10,738.97/x
  3. Step 3: Cross multiply
    4,663.13x = 10,738.97 × 10,738.97
  4. Step 4: Simplify right side
    4,663.13x = 115,325,449.81
  5. Step 5: Solve for x
    x = 115,325,449.81/4,663.13
  6. Step 6: Final answer
    x = 24,731.37

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.