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Finding the Third Proportional to 13,623.19 and 20,512.97

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Solution

The third proportional to 13,623.19 and 20,512.97 is: 30,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.19 : 20,512.97 = 20,512.97 : x
  2. Step 2: Convert to fraction form
    13,623.19/20,512.97 = 20,512.97/x
  3. Step 3: Cross multiply
    13,623.19x = 20,512.97 × 20,512.97
  4. Step 4: Simplify right side
    13,623.19x = 420,781,886.94
  5. Step 5: Solve for x
    x = 420,781,886.94/13,623.19
  6. Step 6: Final answer
    x = 30,887.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.