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Finding the Third Proportional to 12,717 and 13,770

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Solution

The third proportional to 12,717 and 13,770 is: 14,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717 : 13,770 = 13,770 : x
  2. Step 2: Convert to fraction form
    12,717/13,770 = 13,770/x
  3. Step 3: Cross multiply
    12,717x = 13,770 × 13,770
  4. Step 4: Simplify right side
    12,717x = 189,612,900
  5. Step 5: Solve for x
    x = 189,612,900/12,717
  6. Step 6: Final answer
    x = 14,910.19

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.