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Finding the Third Proportional to 8,230 and 13,614

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Solution

The third proportional to 8,230 and 13,614 is: 22,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230 : 13,614 = 13,614 : x
  2. Step 2: Convert to fraction form
    8,230/13,614 = 13,614/x
  3. Step 3: Cross multiply
    8,230x = 13,614 × 13,614
  4. Step 4: Simplify right side
    8,230x = 185,340,996
  5. Step 5: Solve for x
    x = 185,340,996/8,230
  6. Step 6: Final answer
    x = 22,520.17

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.