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Finding the Third Proportional to 32,983 and 51,150

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Solution

The third proportional to 32,983 and 51,150 is: 79,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983 : 51,150 = 51,150 : x
  2. Step 2: Convert to fraction form
    32,983/51,150 = 51,150/x
  3. Step 3: Cross multiply
    32,983x = 51,150 × 51,150
  4. Step 4: Simplify right side
    32,983x = 2,616,322,500
  5. Step 5: Solve for x
    x = 2,616,322,500/32,983
  6. Step 6: Final answer
    x = 79,323.36

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