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Finding the Third Proportional to 37,769 and 81,451

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Solution

The third proportional to 37,769 and 81,451 is: 175,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,769 : 81,451 = 81,451 : x
  2. Step 2: Convert to fraction form
    37,769/81,451 = 81,451/x
  3. Step 3: Cross multiply
    37,769x = 81,451 × 81,451
  4. Step 4: Simplify right side
    37,769x = 6,634,265,401
  5. Step 5: Solve for x
    x = 6,634,265,401/37,769
  6. Step 6: Final answer
    x = 175,653.72

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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.