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Finding the Third Proportional to 5,528.25 and 11,936.81

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Solution

The third proportional to 5,528.25 and 11,936.81 is: 25,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,528.25 : 11,936.81 = 11,936.81 : x
  2. Step 2: Convert to fraction form
    5,528.25/11,936.81 = 11,936.81/x
  3. Step 3: Cross multiply
    5,528.25x = 11,936.81 × 11,936.81
  4. Step 4: Simplify right side
    5,528.25x = 142,487,492.66
  5. Step 5: Solve for x
    x = 142,487,492.66/5,528.25
  6. Step 6: Final answer
    x = 25,774.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.