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Finding the Third Proportional to 9,600 and 20,706

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Solution

The third proportional to 9,600 and 20,706 is: 44,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600 : 20,706 = 20,706 : x
  2. Step 2: Convert to fraction form
    9,600/20,706 = 20,706/x
  3. Step 3: Cross multiply
    9,600x = 20,706 × 20,706
  4. Step 4: Simplify right side
    9,600x = 428,738,436
  5. Step 5: Solve for x
    x = 428,738,436/9,600
  6. Step 6: Final answer
    x = 44,660.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.