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Finding the Third Proportional to 11,006.75 and 23,724.75

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Solution

The third proportional to 11,006.75 and 23,724.75 is: 51,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006.75 : 23,724.75 = 23,724.75 : x
  2. Step 2: Convert to fraction form
    11,006.75/23,724.75 = 23,724.75/x
  3. Step 3: Cross multiply
    11,006.75x = 23,724.75 × 23,724.75
  4. Step 4: Simplify right side
    11,006.75x = 562,863,762.56
  5. Step 5: Solve for x
    x = 562,863,762.56/11,006.75
  6. Step 6: Final answer
    x = 51,138.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.