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Finding the Third Proportional to 43,824 and 95,040

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Solution

The third proportional to 43,824 and 95,040 is: 206,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824 : 95,040 = 95,040 : x
  2. Step 2: Convert to fraction form
    43,824/95,040 = 95,040/x
  3. Step 3: Cross multiply
    43,824x = 95,040 × 95,040
  4. Step 4: Simplify right side
    43,824x = 9,032,601,600
  5. Step 5: Solve for x
    x = 9,032,601,600/43,824
  6. Step 6: Final answer
    x = 206,110.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.