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Finding the Third Proportional to 11,918.25 and 25,419.75

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Solution

The third proportional to 11,918.25 and 25,419.75 is: 54,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.25 : 25,419.75 = 25,419.75 : x
  2. Step 2: Convert to fraction form
    11,918.25/25,419.75 = 25,419.75/x
  3. Step 3: Cross multiply
    11,918.25x = 25,419.75 × 25,419.75
  4. Step 4: Simplify right side
    11,918.25x = 646,163,690.06
  5. Step 5: Solve for x
    x = 646,163,690.06/11,918.25
  6. Step 6: Final answer
    x = 54,216.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.