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Finding the Third Proportional to 6,599 and 13,747

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Solution

The third proportional to 6,599 and 13,747 is: 28,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599 : 13,747 = 13,747 : x
  2. Step 2: Convert to fraction form
    6,599/13,747 = 13,747/x
  3. Step 3: Cross multiply
    6,599x = 13,747 × 13,747
  4. Step 4: Simplify right side
    6,599x = 188,980,009
  5. Step 5: Solve for x
    x = 188,980,009/6,599
  6. Step 6: Final answer
    x = 28,637.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.