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Finding the Third Proportional to 8,200.50 and 12,309

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Solution

The third proportional to 8,200.50 and 12,309 is: 18,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.50 : 12,309 = 12,309 : x
  2. Step 2: Convert to fraction form
    8,200.50/12,309 = 12,309/x
  3. Step 3: Cross multiply
    8,200.50x = 12,309 × 12,309
  4. Step 4: Simplify right side
    8,200.50x = 151,511,481
  5. Step 5: Solve for x
    x = 151,511,481/8,200.50
  6. Step 6: Final answer
    x = 18,475.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.