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Finding the Third Proportional to 38,070 and 82,674

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Solution

The third proportional to 38,070 and 82,674 is: 179,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,070 : 82,674 = 82,674 : x
  2. Step 2: Convert to fraction form
    38,070/82,674 = 82,674/x
  3. Step 3: Cross multiply
    38,070x = 82,674 × 82,674
  4. Step 4: Simplify right side
    38,070x = 6,834,990,276
  5. Step 5: Solve for x
    x = 6,834,990,276/38,070
  6. Step 6: Final answer
    x = 179,537.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.