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Finding the Third Proportional to 18,602 and 38,500

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Solution

The third proportional to 18,602 and 38,500 is: 79,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,602 : 38,500 = 38,500 : x
  2. Step 2: Convert to fraction form
    18,602/38,500 = 38,500/x
  3. Step 3: Cross multiply
    18,602x = 38,500 × 38,500
  4. Step 4: Simplify right side
    18,602x = 1,482,250,000
  5. Step 5: Solve for x
    x = 1,482,250,000/18,602
  6. Step 6: Final answer
    x = 79,682.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.