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Finding the Third Proportional to 12,009.41 and 17,107.61

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Solution

The third proportional to 12,009.41 and 17,107.61 is: 24,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.41 : 17,107.61 = 17,107.61 : x
  2. Step 2: Convert to fraction form
    12,009.41/17,107.61 = 17,107.61/x
  3. Step 3: Cross multiply
    12,009.41x = 17,107.61 × 17,107.61
  4. Step 4: Simplify right side
    12,009.41x = 292,670,365.35
  5. Step 5: Solve for x
    x = 292,670,365.35/12,009.41
  6. Step 6: Final answer
    x = 24,370.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.