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Finding the Third Proportional to 8,744 and 13,639

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Solution

The third proportional to 8,744 and 13,639 is: 21,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744 : 13,639 = 13,639 : x
  2. Step 2: Convert to fraction form
    8,744/13,639 = 13,639/x
  3. Step 3: Cross multiply
    8,744x = 13,639 × 13,639
  4. Step 4: Simplify right side
    8,744x = 186,022,321
  5. Step 5: Solve for x
    x = 186,022,321/8,744
  6. Step 6: Final answer
    x = 21,274.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.