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Finding the Third Proportional to 37,657 and 81,512

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Solution

The third proportional to 37,657 and 81,512 is: 176,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657 : 81,512 = 81,512 : x
  2. Step 2: Convert to fraction form
    37,657/81,512 = 81,512/x
  3. Step 3: Cross multiply
    37,657x = 81,512 × 81,512
  4. Step 4: Simplify right side
    37,657x = 6,644,206,144
  5. Step 5: Solve for x
    x = 6,644,206,144/37,657
  6. Step 6: Final answer
    x = 176,440.13

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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.