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Finding the Third Proportional to 4,251 and 6,414

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Solution

The third proportional to 4,251 and 6,414 is: 9,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251 : 6,414 = 6,414 : x
  2. Step 2: Convert to fraction form
    4,251/6,414 = 6,414/x
  3. Step 3: Cross multiply
    4,251x = 6,414 × 6,414
  4. Step 4: Simplify right side
    4,251x = 41,139,396
  5. Step 5: Solve for x
    x = 41,139,396/4,251
  6. Step 6: Final answer
    x = 9,677.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.