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Finding the Third Proportional to 8,199 and 12,306

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Solution

The third proportional to 8,199 and 12,306 is: 18,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199 : 12,306 = 12,306 : x
  2. Step 2: Convert to fraction form
    8,199/12,306 = 12,306/x
  3. Step 3: Cross multiply
    8,199x = 12,306 × 12,306
  4. Step 4: Simplify right side
    8,199x = 151,437,636
  5. Step 5: Solve for x
    x = 151,437,636/8,199
  6. Step 6: Final answer
    x = 18,470.26

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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.