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Finding the Third Proportional to 23,467.50 and 35,400.38

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Solution

The third proportional to 23,467.50 and 35,400.38 is: 53,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.50 : 35,400.38 = 35,400.38 : x
  2. Step 2: Convert to fraction form
    23,467.50/35,400.38 = 35,400.38/x
  3. Step 3: Cross multiply
    23,467.50x = 35,400.38 × 35,400.38
  4. Step 4: Simplify right side
    23,467.50x = 1,253,186,550.14
  5. Step 5: Solve for x
    x = 1,253,186,550.14/23,467.50
  6. Step 6: Final answer
    x = 53,400.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.