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Finding the Third Proportional to 23,272 and 37,152

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Solution

The third proportional to 23,272 and 37,152 is: 59,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272 : 37,152 = 37,152 : x
  2. Step 2: Convert to fraction form
    23,272/37,152 = 37,152/x
  3. Step 3: Cross multiply
    23,272x = 37,152 × 37,152
  4. Step 4: Simplify right side
    23,272x = 1,380,271,104
  5. Step 5: Solve for x
    x = 1,380,271,104/23,272
  6. Step 6: Final answer
    x = 59,310.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.