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Finding the Third Proportional to 23,958 and 35,197

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Solution

The third proportional to 23,958 and 35,197 is: 51,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,958 : 35,197 = 35,197 : x
  2. Step 2: Convert to fraction form
    23,958/35,197 = 35,197/x
  3. Step 3: Cross multiply
    23,958x = 35,197 × 35,197
  4. Step 4: Simplify right side
    23,958x = 1,238,828,809
  5. Step 5: Solve for x
    x = 1,238,828,809/23,958
  6. Step 6: Final answer
    x = 51,708.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.