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Finding the Third Proportional to 6,394.50 and 13,951

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Solution

The third proportional to 6,394.50 and 13,951 is: 30,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.50 : 13,951 = 13,951 : x
  2. Step 2: Convert to fraction form
    6,394.50/13,951 = 13,951/x
  3. Step 3: Cross multiply
    6,394.50x = 13,951 × 13,951
  4. Step 4: Simplify right side
    6,394.50x = 194,630,401
  5. Step 5: Solve for x
    x = 194,630,401/6,394.50
  6. Step 6: Final answer
    x = 30,437.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.