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Finding the Third Proportional to 23,972 and 36,128

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Solution

The third proportional to 23,972 and 36,128 is: 54,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972 : 36,128 = 36,128 : x
  2. Step 2: Convert to fraction form
    23,972/36,128 = 36,128/x
  3. Step 3: Cross multiply
    23,972x = 36,128 × 36,128
  4. Step 4: Simplify right side
    23,972x = 1,305,232,384
  5. Step 5: Solve for x
    x = 1,305,232,384/23,972
  6. Step 6: Final answer
    x = 54,448.21

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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.