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Finding the Third Proportional to 7,706 and 18,179

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Solution

The third proportional to 7,706 and 18,179 is: 42,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 18,179 = 18,179 : x
  2. Step 2: Convert to fraction form
    7,706/18,179 = 18,179/x
  3. Step 3: Cross multiply
    7,706x = 18,179 × 18,179
  4. Step 4: Simplify right side
    7,706x = 330,476,041
  5. Step 5: Solve for x
    x = 330,476,041/7,706
  6. Step 6: Final answer
    x = 42,885.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.