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Finding the Third Proportional to 23,533 and 36,912

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Solution

The third proportional to 23,533 and 36,912 is: 57,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533 : 36,912 = 36,912 : x
  2. Step 2: Convert to fraction form
    23,533/36,912 = 36,912/x
  3. Step 3: Cross multiply
    23,533x = 36,912 × 36,912
  4. Step 4: Simplify right side
    23,533x = 1,362,495,744
  5. Step 5: Solve for x
    x = 1,362,495,744/23,533
  6. Step 6: Final answer
    x = 57,897.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.