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Finding the Third Proportional to 34,004.81 and 51,759.56

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Solution

The third proportional to 34,004.81 and 51,759.56 is: 78,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004.81 : 51,759.56 = 51,759.56 : x
  2. Step 2: Convert to fraction form
    34,004.81/51,759.56 = 51,759.56/x
  3. Step 3: Cross multiply
    34,004.81x = 51,759.56 × 51,759.56
  4. Step 4: Simplify right side
    34,004.81x = 2,679,052,310.19
  5. Step 5: Solve for x
    x = 2,679,052,310.19/34,004.81
  6. Step 6: Final answer
    x = 78,784.50

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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.