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Finding the Third Proportional to 12,198.09 and 16,470.84

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Solution

The third proportional to 12,198.09 and 16,470.84 is: 22,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.09 : 16,470.84 = 16,470.84 : x
  2. Step 2: Convert to fraction form
    12,198.09/16,470.84 = 16,470.84/x
  3. Step 3: Cross multiply
    12,198.09x = 16,470.84 × 16,470.84
  4. Step 4: Simplify right side
    12,198.09x = 271,288,693.84
  5. Step 5: Solve for x
    x = 271,288,693.84/12,198.09
  6. Step 6: Final answer
    x = 22,240.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.