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Finding the Third Proportional to 23,175 and 50,040

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Solution

The third proportional to 23,175 and 50,040 is: 108,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175 : 50,040 = 50,040 : x
  2. Step 2: Convert to fraction form
    23,175/50,040 = 50,040/x
  3. Step 3: Cross multiply
    23,175x = 50,040 × 50,040
  4. Step 4: Simplify right side
    23,175x = 2,504,001,600
  5. Step 5: Solve for x
    x = 2,504,001,600/23,175
  6. Step 6: Final answer
    x = 108,047.53

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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.