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Finding the Third Proportional to 38,254 and 82,048

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Solution

The third proportional to 38,254 and 82,048 is: 175,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254 : 82,048 = 82,048 : x
  2. Step 2: Convert to fraction form
    38,254/82,048 = 82,048/x
  3. Step 3: Cross multiply
    38,254x = 82,048 × 82,048
  4. Step 4: Simplify right side
    38,254x = 6,731,874,304
  5. Step 5: Solve for x
    x = 6,731,874,304/38,254
  6. Step 6: Final answer
    x = 175,978.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.