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Finding the Third Proportional to 6,059.81 and 8,155.69

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Solution

The third proportional to 6,059.81 and 8,155.69 is: 10,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.81 : 8,155.69 = 8,155.69 : x
  2. Step 2: Convert to fraction form
    6,059.81/8,155.69 = 8,155.69/x
  3. Step 3: Cross multiply
    6,059.81x = 8,155.69 × 8,155.69
  4. Step 4: Simplify right side
    6,059.81x = 66,515,238.60
  5. Step 5: Solve for x
    x = 66,515,238.60/6,059.81
  6. Step 6: Final answer
    x = 10,976.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.