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Finding the Third Proportional to 6,414 and 10,169

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Solution

The third proportional to 6,414 and 10,169 is: 16,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 10,169 = 10,169 : x
  2. Step 2: Convert to fraction form
    6,414/10,169 = 10,169/x
  3. Step 3: Cross multiply
    6,414x = 10,169 × 10,169
  4. Step 4: Simplify right side
    6,414x = 103,408,561
  5. Step 5: Solve for x
    x = 103,408,561/6,414
  6. Step 6: Final answer
    x = 16,122.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.