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Finding the Third Proportional to 11,969.25 and 25,716

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Solution

The third proportional to 11,969.25 and 25,716 is: 55,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.25 : 25,716 = 25,716 : x
  2. Step 2: Convert to fraction form
    11,969.25/25,716 = 25,716/x
  3. Step 3: Cross multiply
    11,969.25x = 25,716 × 25,716
  4. Step 4: Simplify right side
    11,969.25x = 661,312,656
  5. Step 5: Solve for x
    x = 661,312,656/11,969.25
  6. Step 6: Final answer
    x = 55,250.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.