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Finding the Third Proportional to 6,024 and 6,861

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Solution

The third proportional to 6,024 and 6,861 is: 7,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024 : 6,861 = 6,861 : x
  2. Step 2: Convert to fraction form
    6,024/6,861 = 6,861/x
  3. Step 3: Cross multiply
    6,024x = 6,861 × 6,861
  4. Step 4: Simplify right side
    6,024x = 47,073,321
  5. Step 5: Solve for x
    x = 47,073,321/6,024
  6. Step 6: Final answer
    x = 7,814.30

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.