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Finding the Third Proportional to 38,076 and 81,822

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Solution

The third proportional to 38,076 and 81,822 is: 175,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,076 : 81,822 = 81,822 : x
  2. Step 2: Convert to fraction form
    38,076/81,822 = 81,822/x
  3. Step 3: Cross multiply
    38,076x = 81,822 × 81,822
  4. Step 4: Simplify right side
    38,076x = 6,694,839,684
  5. Step 5: Solve for x
    x = 6,694,839,684/38,076
  6. Step 6: Final answer
    x = 175,828.34

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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.