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Finding the Third Proportional to 6,414 and 13,750

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Solution

The third proportional to 6,414 and 13,750 is: 29,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 13,750 = 13,750 : x
  2. Step 2: Convert to fraction form
    6,414/13,750 = 13,750/x
  3. Step 3: Cross multiply
    6,414x = 13,750 × 13,750
  4. Step 4: Simplify right side
    6,414x = 189,062,500
  5. Step 5: Solve for x
    x = 189,062,500/6,414
  6. Step 6: Final answer
    x = 29,476.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.