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Finding the Third Proportional to 6,621 and 13,665

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Solution

The third proportional to 6,621 and 13,665 is: 28,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,621 : 13,665 = 13,665 : x
  2. Step 2: Convert to fraction form
    6,621/13,665 = 13,665/x
  3. Step 3: Cross multiply
    6,621x = 13,665 × 13,665
  4. Step 4: Simplify right side
    6,621x = 186,732,225
  5. Step 5: Solve for x
    x = 186,732,225/6,621
  6. Step 6: Final answer
    x = 28,203.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.