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Finding the Third Proportional to 38,489 and 82,594

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Solution

The third proportional to 38,489 and 82,594 is: 177,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489 : 82,594 = 82,594 : x
  2. Step 2: Convert to fraction form
    38,489/82,594 = 82,594/x
  3. Step 3: Cross multiply
    38,489x = 82,594 × 82,594
  4. Step 4: Simplify right side
    38,489x = 6,821,768,836
  5. Step 5: Solve for x
    x = 6,821,768,836/38,489
  6. Step 6: Final answer
    x = 177,239.44

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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.