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Finding the Third Proportional to 12,106 and 18,306

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Solution

The third proportional to 12,106 and 18,306 is: 27,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106 : 18,306 = 18,306 : x
  2. Step 2: Convert to fraction form
    12,106/18,306 = 18,306/x
  3. Step 3: Cross multiply
    12,106x = 18,306 × 18,306
  4. Step 4: Simplify right side
    12,106x = 335,109,636
  5. Step 5: Solve for x
    x = 335,109,636/12,106
  6. Step 6: Final answer
    x = 27,681.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.