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Finding the Third Proportional to 32,824 and 50,923

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Solution

The third proportional to 32,824 and 50,923 is: 79,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824 : 50,923 = 50,923 : x
  2. Step 2: Convert to fraction form
    32,824/50,923 = 50,923/x
  3. Step 3: Cross multiply
    32,824x = 50,923 × 50,923
  4. Step 4: Simplify right side
    32,824x = 2,593,151,929
  5. Step 5: Solve for x
    x = 2,593,151,929/32,824
  6. Step 6: Final answer
    x = 79,001.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.