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Finding the Third Proportional to 12,020 and 13,694

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Solution

The third proportional to 12,020 and 13,694 is: 15,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020 : 13,694 = 13,694 : x
  2. Step 2: Convert to fraction form
    12,020/13,694 = 13,694/x
  3. Step 3: Cross multiply
    12,020x = 13,694 × 13,694
  4. Step 4: Simplify right side
    12,020x = 187,525,636
  5. Step 5: Solve for x
    x = 187,525,636/12,020
  6. Step 6: Final answer
    x = 15,601.13

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.