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Finding the Third Proportional to 23,668.50 and 51,027

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Solution

The third proportional to 23,668.50 and 51,027 is: 110,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.50 : 51,027 = 51,027 : x
  2. Step 2: Convert to fraction form
    23,668.50/51,027 = 51,027/x
  3. Step 3: Cross multiply
    23,668.50x = 51,027 × 51,027
  4. Step 4: Simplify right side
    23,668.50x = 2,603,754,729
  5. Step 5: Solve for x
    x = 2,603,754,729/23,668.50
  6. Step 6: Final answer
    x = 110,009.28

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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.