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Finding the Third Proportional to 12,614 and 16,813

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Solution

The third proportional to 12,614 and 16,813 is: 22,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614 : 16,813 = 16,813 : x
  2. Step 2: Convert to fraction form
    12,614/16,813 = 16,813/x
  3. Step 3: Cross multiply
    12,614x = 16,813 × 16,813
  4. Step 4: Simplify right side
    12,614x = 282,676,969
  5. Step 5: Solve for x
    x = 282,676,969/12,614
  6. Step 6: Final answer
    x = 22,409.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.