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Finding the Third Proportional to 34,682.50 and 51,928.75

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Solution

The third proportional to 34,682.50 and 51,928.75 is: 77,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,682.50 : 51,928.75 = 51,928.75 : x
  2. Step 2: Convert to fraction form
    34,682.50/51,928.75 = 51,928.75/x
  3. Step 3: Cross multiply
    34,682.50x = 51,928.75 × 51,928.75
  4. Step 4: Simplify right side
    34,682.50x = 2,696,595,076.56
  5. Step 5: Solve for x
    x = 2,696,595,076.56/34,682.50
  6. Step 6: Final answer
    x = 77,750.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.