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Finding the Third Proportional to 32,050.69 and 51,399.56

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Solution

The third proportional to 32,050.69 and 51,399.56 is: 82,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.69 : 51,399.56 = 51,399.56 : x
  2. Step 2: Convert to fraction form
    32,050.69/51,399.56 = 51,399.56/x
  3. Step 3: Cross multiply
    32,050.69x = 51,399.56 × 51,399.56
  4. Step 4: Simplify right side
    32,050.69x = 2,641,915,025.19
  5. Step 5: Solve for x
    x = 2,641,915,025.19/32,050.69
  6. Step 6: Final answer
    x = 82,429.28

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.