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Finding the Third Proportional to 38,061 and 81,732

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Solution

The third proportional to 38,061 and 81,732 is: 175,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,061 : 81,732 = 81,732 : x
  2. Step 2: Convert to fraction form
    38,061/81,732 = 81,732/x
  3. Step 3: Cross multiply
    38,061x = 81,732 × 81,732
  4. Step 4: Simplify right side
    38,061x = 6,680,119,824
  5. Step 5: Solve for x
    x = 6,680,119,824/38,061
  6. Step 6: Final answer
    x = 175,510.89

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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.