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Finding the Third Proportional to 3,035.60 and 4,268.64

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Solution

The third proportional to 3,035.60 and 4,268.64 is: 6,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.60 : 4,268.64 = 4,268.64 : x
  2. Step 2: Convert to fraction form
    3,035.60/4,268.64 = 4,268.64/x
  3. Step 3: Cross multiply
    3,035.60x = 4,268.64 × 4,268.64
  4. Step 4: Simplify right side
    3,035.60x = 18,221,259.44
  5. Step 5: Solve for x
    x = 18,221,259.44/3,035.60
  6. Step 6: Final answer
    x = 6,002.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.