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Finding the Third Proportional to 3,268.13 and 4,627.69

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Solution

The third proportional to 3,268.13 and 4,627.69 is: 6,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.13 : 4,627.69 = 4,627.69 : x
  2. Step 2: Convert to fraction form
    3,268.13/4,627.69 = 4,627.69/x
  3. Step 3: Cross multiply
    3,268.13x = 4,627.69 × 4,627.69
  4. Step 4: Simplify right side
    3,268.13x = 21,415,491.60
  5. Step 5: Solve for x
    x = 21,415,491.60/3,268.13
  6. Step 6: Final answer
    x = 6,552.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.