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Finding the Third Proportional to 37,637 and 81,274

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Solution

The third proportional to 37,637 and 81,274 is: 175,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,637 : 81,274 = 81,274 : x
  2. Step 2: Convert to fraction form
    37,637/81,274 = 81,274/x
  3. Step 3: Cross multiply
    37,637x = 81,274 × 81,274
  4. Step 4: Simplify right side
    37,637x = 6,605,463,076
  5. Step 5: Solve for x
    x = 6,605,463,076/37,637
  6. Step 6: Final answer
    x = 175,504.51

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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.