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Finding the Third Proportional to 6,354 and 13,902

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Solution

The third proportional to 6,354 and 13,902 is: 30,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354 : 13,902 = 13,902 : x
  2. Step 2: Convert to fraction form
    6,354/13,902 = 13,902/x
  3. Step 3: Cross multiply
    6,354x = 13,902 × 13,902
  4. Step 4: Simplify right side
    6,354x = 193,265,604
  5. Step 5: Solve for x
    x = 193,265,604/6,354
  6. Step 6: Final answer
    x = 30,416.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.