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Finding the Third Proportional to 8,241 and 12,359.50

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Solution

The third proportional to 8,241 and 12,359.50 is: 18,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241 : 12,359.50 = 12,359.50 : x
  2. Step 2: Convert to fraction form
    8,241/12,359.50 = 12,359.50/x
  3. Step 3: Cross multiply
    8,241x = 12,359.50 × 12,359.50
  4. Step 4: Simplify right side
    8,241x = 152,757,240.25
  5. Step 5: Solve for x
    x = 152,757,240.25/8,241
  6. Step 6: Final answer
    x = 18,536.25

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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.