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Finding the Third Proportional to 4,056.75 and 8,128.69

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Solution

The third proportional to 4,056.75 and 8,128.69 is: 16,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.75 : 8,128.69 = 8,128.69 : x
  2. Step 2: Convert to fraction form
    4,056.75/8,128.69 = 8,128.69/x
  3. Step 3: Cross multiply
    4,056.75x = 8,128.69 × 8,128.69
  4. Step 4: Simplify right side
    4,056.75x = 66,075,560.47
  5. Step 5: Solve for x
    x = 66,075,560.47/4,056.75
  6. Step 6: Final answer
    x = 16,287.81

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.