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Finding the Third Proportional to 534.25 and 1,268.13

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Solution

The third proportional to 534.25 and 1,268.13 is: 3,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.25 : 1,268.13 = 1,268.13 : x
  2. Step 2: Convert to fraction form
    534.25/1,268.13 = 1,268.13/x
  3. Step 3: Cross multiply
    534.25x = 1,268.13 × 1,268.13
  4. Step 4: Simplify right side
    534.25x = 1,608,141.02
  5. Step 5: Solve for x
    x = 1,608,141.02/534.25
  6. Step 6: Final answer
    x = 3,010.09

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.