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Finding the Third Proportional to 6,126 and 8,145

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Solution

The third proportional to 6,126 and 8,145 is: 10,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126 : 8,145 = 8,145 : x
  2. Step 2: Convert to fraction form
    6,126/8,145 = 8,145/x
  3. Step 3: Cross multiply
    6,126x = 8,145 × 8,145
  4. Step 4: Simplify right side
    6,126x = 66,341,025
  5. Step 5: Solve for x
    x = 66,341,025/6,126
  6. Step 6: Final answer
    x = 10,829.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.