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Finding the Third Proportional to 37,646 and 81,776

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Solution

The third proportional to 37,646 and 81,776 is: 177,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646 : 81,776 = 81,776 : x
  2. Step 2: Convert to fraction form
    37,646/81,776 = 81,776/x
  3. Step 3: Cross multiply
    37,646x = 81,776 × 81,776
  4. Step 4: Simplify right side
    37,646x = 6,687,314,176
  5. Step 5: Solve for x
    x = 6,687,314,176/37,646
  6. Step 6: Final answer
    x = 177,636.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.