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Finding the Third Proportional to 4,920.75 and 11,451.38

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Solution

The third proportional to 4,920.75 and 11,451.38 is: 26,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.75 : 11,451.38 = 11,451.38 : x
  2. Step 2: Convert to fraction form
    4,920.75/11,451.38 = 11,451.38/x
  3. Step 3: Cross multiply
    4,920.75x = 11,451.38 × 11,451.38
  4. Step 4: Simplify right side
    4,920.75x = 131,133,989.39
  5. Step 5: Solve for x
    x = 131,133,989.39/4,920.75
  6. Step 6: Final answer
    x = 26,649.19

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.