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Finding the Third Proportional to 23,976.88 and 36,298.44

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Solution

The third proportional to 23,976.88 and 36,298.44 is: 54,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976.88 : 36,298.44 = 36,298.44 : x
  2. Step 2: Convert to fraction form
    23,976.88/36,298.44 = 36,298.44/x
  3. Step 3: Cross multiply
    23,976.88x = 36,298.44 × 36,298.44
  4. Step 4: Simplify right side
    23,976.88x = 1,317,576,564.94
  5. Step 5: Solve for x
    x = 1,317,576,564.94/23,976.88
  6. Step 6: Final answer
    x = 54,951.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.