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Finding the Third Proportional to 34,078.75 and 51,731.25

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Solution

The third proportional to 34,078.75 and 51,731.25 is: 78,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.75 : 51,731.25 = 51,731.25 : x
  2. Step 2: Convert to fraction form
    34,078.75/51,731.25 = 51,731.25/x
  3. Step 3: Cross multiply
    34,078.75x = 51,731.25 × 51,731.25
  4. Step 4: Simplify right side
    34,078.75x = 2,676,122,226.56
  5. Step 5: Solve for x
    x = 2,676,122,226.56/34,078.75
  6. Step 6: Final answer
    x = 78,527.59

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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.