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Finding the Third Proportional to 37,162 and 53,232

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Solution

The third proportional to 37,162 and 53,232 is: 76,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,162 : 53,232 = 53,232 : x
  2. Step 2: Convert to fraction form
    37,162/53,232 = 53,232/x
  3. Step 3: Cross multiply
    37,162x = 53,232 × 53,232
  4. Step 4: Simplify right side
    37,162x = 2,833,645,824
  5. Step 5: Solve for x
    x = 2,833,645,824/37,162
  6. Step 6: Final answer
    x = 76,251.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.