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Finding the Third Proportional to 34,079.75 and 51,732.75

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Solution

The third proportional to 34,079.75 and 51,732.75 is: 78,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,079.75 : 51,732.75 = 51,732.75 : x
  2. Step 2: Convert to fraction form
    34,079.75/51,732.75 = 51,732.75/x
  3. Step 3: Cross multiply
    34,079.75x = 51,732.75 × 51,732.75
  4. Step 4: Simplify right side
    34,079.75x = 2,676,277,422.56
  5. Step 5: Solve for x
    x = 2,676,277,422.56/34,079.75
  6. Step 6: Final answer
    x = 78,529.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.