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Finding the Third Proportional to 13,504 and 18,964

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Solution

The third proportional to 13,504 and 18,964 is: 26,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504 : 18,964 = 18,964 : x
  2. Step 2: Convert to fraction form
    13,504/18,964 = 18,964/x
  3. Step 3: Cross multiply
    13,504x = 18,964 × 18,964
  4. Step 4: Simplify right side
    13,504x = 359,633,296
  5. Step 5: Solve for x
    x = 359,633,296/13,504
  6. Step 6: Final answer
    x = 26,631.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.