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Finding the Third Proportional to 32,961.38 and 51,080.63

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Solution

The third proportional to 32,961.38 and 51,080.63 is: 79,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.38 : 51,080.63 = 51,080.63 : x
  2. Step 2: Convert to fraction form
    32,961.38/51,080.63 = 51,080.63/x
  3. Step 3: Cross multiply
    32,961.38x = 51,080.63 × 51,080.63
  4. Step 4: Simplify right side
    32,961.38x = 2,609,230,250.39
  5. Step 5: Solve for x
    x = 2,609,230,250.39/32,961.38
  6. Step 6: Final answer
    x = 79,160.24

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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.