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Finding the Third Proportional to 23,012.25 and 36,372.75

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Solution

The third proportional to 23,012.25 and 36,372.75 is: 57,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012.25 : 36,372.75 = 36,372.75 : x
  2. Step 2: Convert to fraction form
    23,012.25/36,372.75 = 36,372.75/x
  3. Step 3: Cross multiply
    23,012.25x = 36,372.75 × 36,372.75
  4. Step 4: Simplify right side
    23,012.25x = 1,322,976,942.56
  5. Step 5: Solve for x
    x = 1,322,976,942.56/23,012.25
  6. Step 6: Final answer
    x = 57,490.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.