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Finding the Third Proportional to 12,034 and 18,706

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Solution

The third proportional to 12,034 and 18,706 is: 29,077.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034 : 18,706 = 18,706 : x
  2. Step 2: Convert to fraction form
    12,034/18,706 = 18,706/x
  3. Step 3: Cross multiply
    12,034x = 18,706 × 18,706
  4. Step 4: Simplify right side
    12,034x = 349,914,436
  5. Step 5: Solve for x
    x = 349,914,436/12,034
  6. Step 6: Final answer
    x = 29,077.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.