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Finding the Third Proportional to 32,960.25 and 51,077.25

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Solution

The third proportional to 32,960.25 and 51,077.25 is: 79,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.25 : 51,077.25 = 51,077.25 : x
  2. Step 2: Convert to fraction form
    32,960.25/51,077.25 = 51,077.25/x
  3. Step 3: Cross multiply
    32,960.25x = 51,077.25 × 51,077.25
  4. Step 4: Simplify right side
    32,960.25x = 2,608,885,467.56
  5. Step 5: Solve for x
    x = 2,608,885,467.56/32,960.25
  6. Step 6: Final answer
    x = 79,152.48

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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.