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Finding the Third Proportional to 25,969.13 and 55,817.44

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Solution

The third proportional to 25,969.13 and 55,817.44 is: 119,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,969.13 : 55,817.44 = 55,817.44 : x
  2. Step 2: Convert to fraction form
    25,969.13/55,817.44 = 55,817.44/x
  3. Step 3: Cross multiply
    25,969.13x = 55,817.44 × 55,817.44
  4. Step 4: Simplify right side
    25,969.13x = 3,115,586,329.07
  5. Step 5: Solve for x
    x = 3,115,586,329.07/25,969.13
  6. Step 6: Final answer
    x = 119,972.71

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Why These Related Problems?

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