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Finding the Third Proportional to 5,620 and 11,706

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Solution

The third proportional to 5,620 and 11,706 is: 24,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620 : 11,706 = 11,706 : x
  2. Step 2: Convert to fraction form
    5,620/11,706 = 11,706/x
  3. Step 3: Cross multiply
    5,620x = 11,706 × 11,706
  4. Step 4: Simplify right side
    5,620x = 137,030,436
  5. Step 5: Solve for x
    x = 137,030,436/5,620
  6. Step 6: Final answer
    x = 24,382.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.