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Finding the Third Proportional to 38,230.50 and 82,600.50

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Solution

The third proportional to 38,230.50 and 82,600.50 is: 178,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.50 : 82,600.50 = 82,600.50 : x
  2. Step 2: Convert to fraction form
    38,230.50/82,600.50 = 82,600.50/x
  3. Step 3: Cross multiply
    38,230.50x = 82,600.50 × 82,600.50
  4. Step 4: Simplify right side
    38,230.50x = 6,822,842,600.25
  5. Step 5: Solve for x
    x = 6,822,842,600.25/38,230.50
  6. Step 6: Final answer
    x = 178,465.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.