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Finding the Third Proportional to 23,400.14 and 51,169.22

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Solution

The third proportional to 23,400.14 and 51,169.22 is: 111,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400.14 : 51,169.22 = 51,169.22 : x
  2. Step 2: Convert to fraction form
    23,400.14/51,169.22 = 51,169.22/x
  3. Step 3: Cross multiply
    23,400.14x = 51,169.22 × 51,169.22
  4. Step 4: Simplify right side
    23,400.14x = 2,618,288,947.49
  5. Step 5: Solve for x
    x = 2,618,288,947.49/23,400.14
  6. Step 6: Final answer
    x = 111,892.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.