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Finding the Third Proportional to 13,204.13 and 19,738.13

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Solution

The third proportional to 13,204.13 and 19,738.13 is: 29,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.13 : 19,738.13 = 19,738.13 : x
  2. Step 2: Convert to fraction form
    13,204.13/19,738.13 = 19,738.13/x
  3. Step 3: Cross multiply
    13,204.13x = 19,738.13 × 19,738.13
  4. Step 4: Simplify right side
    13,204.13x = 389,593,578.52
  5. Step 5: Solve for x
    x = 389,593,578.52/13,204.13
  6. Step 6: Final answer
    x = 29,505.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.