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Finding the Third Proportional to 13,566 and 20,247

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Solution

The third proportional to 13,566 and 20,247 is: 30,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566 : 20,247 = 20,247 : x
  2. Step 2: Convert to fraction form
    13,566/20,247 = 20,247/x
  3. Step 3: Cross multiply
    13,566x = 20,247 × 20,247
  4. Step 4: Simplify right side
    13,566x = 409,941,009
  5. Step 5: Solve for x
    x = 409,941,009/13,566
  6. Step 6: Final answer
    x = 30,218.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.