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Finding the Third Proportional to 23,458.78 and 35,218.97

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Solution

The third proportional to 23,458.78 and 35,218.97 is: 52,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458.78 : 35,218.97 = 35,218.97 : x
  2. Step 2: Convert to fraction form
    23,458.78/35,218.97 = 35,218.97/x
  3. Step 3: Cross multiply
    23,458.78x = 35,218.97 × 35,218.97
  4. Step 4: Simplify right side
    23,458.78x = 1,240,375,759.81
  5. Step 5: Solve for x
    x = 1,240,375,759.81/23,458.78
  6. Step 6: Final answer
    x = 52,874.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.