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Finding the Third Proportional to 5,268.94 and 11,509.31

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Solution

The third proportional to 5,268.94 and 11,509.31 is: 25,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.94 : 11,509.31 = 11,509.31 : x
  2. Step 2: Convert to fraction form
    5,268.94/11,509.31 = 11,509.31/x
  3. Step 3: Cross multiply
    5,268.94x = 11,509.31 × 11,509.31
  4. Step 4: Simplify right side
    5,268.94x = 132,464,274.22
  5. Step 5: Solve for x
    x = 132,464,274.22/5,268.94
  6. Step 6: Final answer
    x = 25,140.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.