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Finding the Third Proportional to 37,100 and 80,032

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Solution

The third proportional to 37,100 and 80,032 is: 172,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,100 : 80,032 = 80,032 : x
  2. Step 2: Convert to fraction form
    37,100/80,032 = 80,032/x
  3. Step 3: Cross multiply
    37,100x = 80,032 × 80,032
  4. Step 4: Simplify right side
    37,100x = 6,405,121,024
  5. Step 5: Solve for x
    x = 6,405,121,024/37,100
  6. Step 6: Final answer
    x = 172,644.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.