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Finding the Third Proportional to 6,302 and 13,720

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Solution

The third proportional to 6,302 and 13,720 is: 29,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302 : 13,720 = 13,720 : x
  2. Step 2: Convert to fraction form
    6,302/13,720 = 13,720/x
  3. Step 3: Cross multiply
    6,302x = 13,720 × 13,720
  4. Step 4: Simplify right side
    6,302x = 188,238,400
  5. Step 5: Solve for x
    x = 188,238,400/6,302
  6. Step 6: Final answer
    x = 29,869.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.