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Finding the Third Proportional to 5,960 and 14,404

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Solution

The third proportional to 5,960 and 14,404 is: 34,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960 : 14,404 = 14,404 : x
  2. Step 2: Convert to fraction form
    5,960/14,404 = 14,404/x
  3. Step 3: Cross multiply
    5,960x = 14,404 × 14,404
  4. Step 4: Simplify right side
    5,960x = 207,475,216
  5. Step 5: Solve for x
    x = 207,475,216/5,960
  6. Step 6: Final answer
    x = 34,811.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.