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Finding the Third Proportional to 37,966 and 81,774

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Solution

The third proportional to 37,966 and 81,774 is: 176,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966 : 81,774 = 81,774 : x
  2. Step 2: Convert to fraction form
    37,966/81,774 = 81,774/x
  3. Step 3: Cross multiply
    37,966x = 81,774 × 81,774
  4. Step 4: Simplify right side
    37,966x = 6,686,987,076
  5. Step 5: Solve for x
    x = 6,686,987,076/37,966
  6. Step 6: Final answer
    x = 176,130.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.