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Finding the Third Proportional to 6,371.63 and 13,768.42

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Solution

The third proportional to 6,371.63 and 13,768.42 is: 29,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.63 : 13,768.42 = 13,768.42 : x
  2. Step 2: Convert to fraction form
    6,371.63/13,768.42 = 13,768.42/x
  3. Step 3: Cross multiply
    6,371.63x = 13,768.42 × 13,768.42
  4. Step 4: Simplify right side
    6,371.63x = 189,569,333.36
  5. Step 5: Solve for x
    x = 189,569,333.36/6,371.63
  6. Step 6: Final answer
    x = 29,752.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.