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Finding the Third Proportional to 11,020.50 and 23,698.31

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Solution

The third proportional to 11,020.50 and 23,698.31 is: 50,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020.50 : 23,698.31 = 23,698.31 : x
  2. Step 2: Convert to fraction form
    11,020.50/23,698.31 = 23,698.31/x
  3. Step 3: Cross multiply
    11,020.50x = 23,698.31 × 23,698.31
  4. Step 4: Simplify right side
    11,020.50x = 561,610,015.35
  5. Step 5: Solve for x
    x = 561,610,015.35/11,020.50
  6. Step 6: Final answer
    x = 50,960.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.