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Finding the Third Proportional to 37,634 and 81,268

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Solution

The third proportional to 37,634 and 81,268 is: 175,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,634 : 81,268 = 81,268 : x
  2. Step 2: Convert to fraction form
    37,634/81,268 = 81,268/x
  3. Step 3: Cross multiply
    37,634x = 81,268 × 81,268
  4. Step 4: Simplify right side
    37,634x = 6,604,487,824
  5. Step 5: Solve for x
    x = 6,604,487,824/37,634
  6. Step 6: Final answer
    x = 175,492.58

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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.