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Finding the Third Proportional to 3,780 and 9,706

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Solution

The third proportional to 3,780 and 9,706 is: 24,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 9,706 = 9,706 : x
  2. Step 2: Convert to fraction form
    3,780/9,706 = 9,706/x
  3. Step 3: Cross multiply
    3,780x = 9,706 × 9,706
  4. Step 4: Simplify right side
    3,780x = 94,206,436
  5. Step 5: Solve for x
    x = 94,206,436/3,780
  6. Step 6: Final answer
    x = 24,922.34

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.