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Finding the Third Proportional to 38,602 and 82,556

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Solution

The third proportional to 38,602 and 82,556 is: 176,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602 : 82,556 = 82,556 : x
  2. Step 2: Convert to fraction form
    38,602/82,556 = 82,556/x
  3. Step 3: Cross multiply
    38,602x = 82,556 × 82,556
  4. Step 4: Simplify right side
    38,602x = 6,815,493,136
  5. Step 5: Solve for x
    x = 6,815,493,136/38,602
  6. Step 6: Final answer
    x = 176,558.03

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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.