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Finding the Third Proportional to 9,623 and 21,735

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Solution

The third proportional to 9,623 and 21,735 is: 49,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623 : 21,735 = 21,735 : x
  2. Step 2: Convert to fraction form
    9,623/21,735 = 21,735/x
  3. Step 3: Cross multiply
    9,623x = 21,735 × 21,735
  4. Step 4: Simplify right side
    9,623x = 472,410,225
  5. Step 5: Solve for x
    x = 472,410,225/9,623
  6. Step 6: Final answer
    x = 49,091.78

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.