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Finding the Third Proportional to 6,500 and 13,964

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Solution

The third proportional to 6,500 and 13,964 is: 29,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 13,964 = 13,964 : x
  2. Step 2: Convert to fraction form
    6,500/13,964 = 13,964/x
  3. Step 3: Cross multiply
    6,500x = 13,964 × 13,964
  4. Step 4: Simplify right side
    6,500x = 194,993,296
  5. Step 5: Solve for x
    x = 194,993,296/6,500
  6. Step 6: Final answer
    x = 29,998.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.