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Finding the Third Proportional to 9,772 and 21,652

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Solution

The third proportional to 9,772 and 21,652 is: 47,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772 : 21,652 = 21,652 : x
  2. Step 2: Convert to fraction form
    9,772/21,652 = 21,652/x
  3. Step 3: Cross multiply
    9,772x = 21,652 × 21,652
  4. Step 4: Simplify right side
    9,772x = 468,809,104
  5. Step 5: Solve for x
    x = 468,809,104/9,772
  6. Step 6: Final answer
    x = 47,974.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.