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Finding the Third Proportional to 6,340 and 13,502

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Solution

The third proportional to 6,340 and 13,502 is: 28,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340 : 13,502 = 13,502 : x
  2. Step 2: Convert to fraction form
    6,340/13,502 = 13,502/x
  3. Step 3: Cross multiply
    6,340x = 13,502 × 13,502
  4. Step 4: Simplify right side
    6,340x = 182,304,004
  5. Step 5: Solve for x
    x = 182,304,004/6,340
  6. Step 6: Final answer
    x = 28,754.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.