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Finding the Third Proportional to 6,324 and 10,126

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Solution

The third proportional to 6,324 and 10,126 is: 16,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324 : 10,126 = 10,126 : x
  2. Step 2: Convert to fraction form
    6,324/10,126 = 10,126/x
  3. Step 3: Cross multiply
    6,324x = 10,126 × 10,126
  4. Step 4: Simplify right side
    6,324x = 102,535,876
  5. Step 5: Solve for x
    x = 102,535,876/6,324
  6. Step 6: Final answer
    x = 16,213.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.