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Finding the Third Proportional to 13,164 and 19,704

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Solution

The third proportional to 13,164 and 19,704 is: 29,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164 : 19,704 = 19,704 : x
  2. Step 2: Convert to fraction form
    13,164/19,704 = 19,704/x
  3. Step 3: Cross multiply
    13,164x = 19,704 × 19,704
  4. Step 4: Simplify right side
    13,164x = 388,247,616
  5. Step 5: Solve for x
    x = 388,247,616/13,164
  6. Step 6: Final answer
    x = 29,493.13

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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.