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Finding the Third Proportional to 6,494 and 14,122

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Solution

The third proportional to 6,494 and 14,122 is: 30,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494 : 14,122 = 14,122 : x
  2. Step 2: Convert to fraction form
    6,494/14,122 = 14,122/x
  3. Step 3: Cross multiply
    6,494x = 14,122 × 14,122
  4. Step 4: Simplify right side
    6,494x = 199,430,884
  5. Step 5: Solve for x
    x = 199,430,884/6,494
  6. Step 6: Final answer
    x = 30,710.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.