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Finding the Third Proportional to 38,008.50 and 82,503

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Solution

The third proportional to 38,008.50 and 82,503 is: 179,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008.50 : 82,503 = 82,503 : x
  2. Step 2: Convert to fraction form
    38,008.50/82,503 = 82,503/x
  3. Step 3: Cross multiply
    38,008.50x = 82,503 × 82,503
  4. Step 4: Simplify right side
    38,008.50x = 6,806,745,009
  5. Step 5: Solve for x
    x = 6,806,745,009/38,008.50
  6. Step 6: Final answer
    x = 179,084.81

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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.