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Finding the Third Proportional to 32,965 and 51,029

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Solution

The third proportional to 32,965 and 51,029 is: 78,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965 : 51,029 = 51,029 : x
  2. Step 2: Convert to fraction form
    32,965/51,029 = 51,029/x
  3. Step 3: Cross multiply
    32,965x = 51,029 × 51,029
  4. Step 4: Simplify right side
    32,965x = 2,603,958,841
  5. Step 5: Solve for x
    x = 2,603,958,841/32,965
  6. Step 6: Final answer
    x = 78,991.62

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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.