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Finding the Third Proportional to 32,922 and 50,652

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Solution

The third proportional to 32,922 and 50,652 is: 77,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922 : 50,652 = 50,652 : x
  2. Step 2: Convert to fraction form
    32,922/50,652 = 50,652/x
  3. Step 3: Cross multiply
    32,922x = 50,652 × 50,652
  4. Step 4: Simplify right side
    32,922x = 2,565,625,104
  5. Step 5: Solve for x
    x = 2,565,625,104/32,922
  6. Step 6: Final answer
    x = 77,930.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.